{"id":244754,"date":"2022-11-30T11:30:00","date_gmt":"2022-11-30T06:00:00","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?post_type=web-story&#038;p=244754"},"modified":"2022-11-30T09:23:00","modified_gmt":"2022-11-30T03:53:00","slug":"q-a-the-value-of-k-that-makes-the-given-function-continuous-at-x-0-is","status":"publish","type":"web-story","link":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/q-a-the-value-of-k-that-makes-the-given-function-continuous-at-x-0-is\/","title":{"rendered":"The Value of K That Makes the Given Function Continuous at X = 0 Is"},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link 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style=\"position:absolute;width:100%;height:100.0001%;left:0%;top:-0.00005%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png\" alt=\"Aakash Icon Blue PNG\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png 96w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG-75x75.png 75w\" sizes=\"(min-width: 1024px) 4vh, 10vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.13592%;top:32.52427%;width:78.64078%;height:2.75081%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6172839506172839% 0.6172839506172839% 0.6172839506172839% 0.6172839506172839% \/ 11.76470588235294% 11.76470588235294% 11.76470588235294% 11.76470588235294%\" id=\"el-59e0c81a-db47-4a5f-a725-cc19328a2576\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.12314814814814788% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.226537em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">By Team Aakash Byju&#8217;s | 30th November 2022<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:17.96117%;top:38.1877%;width:65.29126%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.7434944237918215% 0.7434944237918215% 0.7434944237918215% 0.7434944237918215% \/ 8% 8% 8% 8%\" id=\"el-c9516a24-36b2-4e9f-b841-4a3a054b5d71\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.2118959107806686% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>The value of k that makes<\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:26.45631%;top:44.49838%;width:15.7767%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:3.076923076923077% 3.076923076923077% 3.076923076923077% 3.076923076923077% \/ 8% 8% 8% 8%\" id=\"el-5c9b9a72-5741-4c17-8f97-2e1a1da7f6ee\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.8769230769230746% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>f(x ) =<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:41.26214%;top:42.55663%;width:4.85437%;height:8.09061%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 4% 4% 4% 4%\" id=\"el-3b9e1fe8-9798-4e43-8da1-754f534fd70a\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:5.699999999999985% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.647249em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>{<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:46.1165%;top:43.04207%;width:14.32039%;height:3.07443%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:3.389830508474576% 3.389830508474576% 3.389830508474576% 3.389830508474576% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-f110fe96-59e9-49ff-b268-7a694631b5c8\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.724576271186438% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>sin ( &nbsp;&nbsp;&nbsp;),<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:60.92233%;top:43.20388%;width:15.7767%;height:2.91262%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:3.076923076923077% 3.076923076923077% 3.076923076923077% 3.076923076923077% \/ 11.11111111111111% 11.11111111111111% 11.11111111111111% 11.11111111111111%\" id=\"el-82335216-b5bf-4971-86e6-37812ad0eee5\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.6576923076923054% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>for x \u2260 0<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:46.1165%;top:46.92557%;width:20.14563%;height:2.91262%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:2.4096385542168677% 2.4096385542168677% 2.4096385542168677% 2.4096385542168677% \/ 11.11111111111111% 11.11111111111111% 11.11111111111111% 11.11111111111111%\" id=\"el-83cdaec1-0eeb-4aa4-b82a-584ee19e3ad2\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.5150602409638536% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>k, for x = 0<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:54.61165%;top:41.58576%;width:6.06796%;height:3.07443%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:8% 8% 8% 8% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-a9aee79e-d4eb-4b57-be17-bcae8ddbc238\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.7099999999999937% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>1<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:54.12621%;top:44.33657%;width:3.15534%;height:0.32362%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-20d86eee-1f56-45a0-ba5d-0539cdc82299\">\n<div class=\"fill\" style=\"background-color:#000;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:54.61165%;top:44.33657%;width:5.33981%;height:3.07443%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:9.090909090909092% 9.090909090909092% 9.090909090909092% 9.090909090909092% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-d0151bef-f50c-4500-b843-34f40cdd1e85\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.943181818181811% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>x<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:19.41748%;top:51.77994%;width:54.61165%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.8888888888888888% 0.8888888888888888% 0.8888888888888888% 0.8888888888888888% \/ 8% 8% 8% 8%\" id=\"el-cff773e7-cf95-4ced-ace1-fdcdcabb00bf\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.2533333333333327% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>continuous at X = 0 is<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.29126%;top:58.57605%;width:8.49515%;height:6.14887%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:5.714285714285714% 5.714285714285714% 5.714285714285714% 5.714285714285714% \/ 5.263157894736842% 5.263157894736842% 5.263157894736842% 5.263157894736842%\" id=\"el-ce06545e-f6f1-47f9-9f9f-8cfcd0824307\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.8714285714285683% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.485437em;line-height:1.19;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">A.<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.29126%;top:69.41748%;width:9.46602%;height:6.14887%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:5.128205128205128% 5.128205128205128% 5.128205128205128% 5.128205128205128% \/ 5.263157894736842% 5.263157894736842% 5.263157894736842% 5.263157894736842%\" id=\"el-1b6c45b1-0e27-48b0-9f56-845090746579\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.5769230769230744% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.485437em;line-height:1.19;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">B.<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.29126%;top:80.42071%;width:10.43689%;height:6.14887%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:4.651162790697675% 4.651162790697675% 4.651162790697675% 4.651162790697675% \/ 5.263157894736842% 5.263157894736842% 5.263157894736842% 5.263157894736842%\" id=\"el-7d796d11-5a0f-4aaf-aa10-478139cd3f35\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.337209302325579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.485437em;line-height:1.19;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">C.<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.04854%;top:90.45307%;width:9.70874%;height:6.14887%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:5% 5% 5% 5% \/ 5.263157894736842% 5.263157894736842% 5.263157894736842% 5.263157894736842%\" id=\"el-fdfebdaa-8e28-4eba-a553-00f64bdbe301\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.5124999999999975% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.485437em;line-height:1.19;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">D.<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:30.82524%;top:59.87055%;width:6.06796%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:8% 8% 8% 8% \/ 8% 8% 8% 8%\" id=\"el-54196ee3-303c-4f65-a411-8cd6fc3f7e9d\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.279999999999994% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>-1<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:33.00971%;top:91.58576%;width:14.07767%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:3.4482758620689653% 3.4482758620689653% 3.4482758620689653% 3.4482758620689653% \/ 8% 8% 8% 8%\" id=\"el-fd490d31-183e-4523-b31c-2068d7fb31f2\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.9827586206896525% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>None<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:33.00971%;top:70.38835%;width:6.06796%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:8% 8% 8% 8% \/ 8% 8% 8% 8%\" id=\"el-d23a1cc8-2a9b-4253-ad1f-cd346b4669ed\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.279999999999994% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>0<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:33.00971%;top:81.39159%;width:6.06796%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:8% 8% 8% 8% \/ 8% 8% 8% 8%\" id=\"el-d4a7255e-1f06-4b08-81ef-a71038eec6a1\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.279999999999994% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>1<\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:55.82524%;top:59.38511%;width:10.43689%;height:21.19741%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-bb72bc63-d3d7-4c55-b88e-9759cefd157a\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:68.4466%;top:47.08738%;width:4.85437%;height:22.97735%;transform:rotate(90deg);opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-49f05153-487a-4278-a123-bf870ad8c33b\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:78.15534%;top:54.85437%;width:16.26214%;height:5.50162%;transform:rotate(328deg);opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-d8c3052d-dab2-45aa-8149-26b8afef73f7\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:48.05825%;top:56.14887%;width:15.7767%;height:1.45631%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-1a410886-b10f-4a44-a53d-2b85500cfeee\">\n<div class=\"fill\" style=\"background-color:#842b81;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"a7955f01-6258-42db-af40-81f1ed63264f\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script 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0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#842b81\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-885f8e81-58f0-4180-babb-cb3d6e28918e\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:32.52427%;top:79.44984%;width:60.92233%;height:4.53074%;opacity:1\">\n<div id=\"anim-d232191d-0610-4676-a840-28aa4a45bea7\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-0b9a7ff1-ac30-4e49-94df-972b0032b40c\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-153.38645%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.796812749003984% 0.796812749003984% 0.796812749003984% 0.796812749003984% \/ 7.142857142857142% 7.142857142857142% 7.142857142857142% 7.142857142857142%\" id=\"el-cc8f9662-dc74-4773-9b85-c0e51d94ceb4\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.24980079681274858% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.355987em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Detailed Explanation<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:3.15534%;top:41.58576%;width:93.93204%;height:16.34304%;opacity:1\">\n<div id=\"anim-aa66a898-d620-467b-a5c7-9c8a16415a8d\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-0bea4bdb-c7a6-4237-ba96-7786346b9900\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-103.35917%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.516795865633075% 0.516795865633075% 0.516795865633075% 0.516795865633075% \/ 1.9801980198019802% 1.9801980198019802% 1.9801980198019802% 1.9801980198019802%\" id=\"el-036272ba-707b-4472-872d-c743ca330995\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.7534883720930234% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.5;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">The correct&nbsp;answer is<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #edf6f6\">&nbsp;D. None.<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:18.20388%;top:0.32362%;width:63.59223%;height:28.31715%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-3d9ebcc7-25d3-4cc7-ba89-d8216153c3ea\">\n<div style=\"position:absolute;width:100%;height:149.65193%;left:0%;top:-24.82597%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/Shutterstock_2161001307.png\" alt=\"Shutterstock_2161001307\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/Shutterstock_2161001307.png 2401w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/Shutterstock_2161001307-2048x2048.png 2048w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/Shutterstock_2161001307-1536x1536.png 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layout=\"nodisplay\" cta-image=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/10\/logo.png\" theme=\"light\"><a href=\"https:\/\/byjus.com\/aakash-byjus-free-trial-class\/?utm_source=seobanner&amp;utm_medium=3rd-webstory&amp;utm_campaign=freeliveclasses\" rel=\"\">Learn More<\/a><\/amp-story-page-outlink><\/amp-story-page><amp-story-page id=\"91397684-10a5-4731-b5ae-6b6897e12dc8\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-75c74252-1780-4c71-adf7-849d51be8db9\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-5d355f17-378d-4195-9b90-8aaf0423b26e\",\"keyframes\":{\"transform\":[\"translate3d(-116.83848%, 0px, 0)\",\"translate3d(0px, 0px, 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layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-0257c396-044e-4425-96b3-e61e0b47278a\",\"keyframes\":{\"transform\":[\"translate3d(-514.99989%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-fc3b6bd9-b2a1-4f12-8fcd-178c011180f9\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-5dbf9a27-7e36-43de-b295-6efed12c3c16\",\"keyframes\":{\"transform\":[\"translate3d(-553.3328%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#842b81\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-40b6c228-5460-4d72-ad9f-68355b5aaefc\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-4.85437%;top:-11.32686%;width:107.76699%;height:70.55016%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-9f3869f7-aa0d-445b-b236-7ebc93995899\">\n<div style=\"position:absolute;width:100%;height:181.03976%;left:0%;top:-22.63953%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8-e1666431577774.jpg\" alt=\"NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8-e1666431577774.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8-e1666431577774-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8-e1666431577774-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/NCERT-12th-Maths-Critical-Chapters-for-JEE-Mains-2022-8-e1666431577774-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 48vh, 108vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:63.1068%;width:70.63107%;height:11.8123%;opacity:1\">\n<div id=\"anim-75c74252-1780-4c71-adf7-849d51be8db9\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-5d355f17-378d-4195-9b90-8aaf0423b26e\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-116.83848%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6872852233676976% 0.6872852233676976% 0.6872852233676976% 0.6872852233676976% \/ 2.73972602739726% 2.73972602739726% 2.73972602739726% 2.73972602739726%\" id=\"el-3d3410b2-8b6e-4cd6-b07a-2b5d1e9d57ac\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19587628865979329% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">We know that, if a function f(x) is continuous at x = 0, then<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:78.80259%;width:37.37864%;height:4.04531%;opacity:1\">\n<div id=\"anim-f82493f1-f739-4d04-a102-72a79cfaa139\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-bafbc298-f7bf-4e5b-83e4-bcffcf182204\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-137.01298%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.2987012987012987% 1.2987012987012987% 1.2987012987012987% 1.2987012987012987% \/ 8% 8% 8% 8%\" id=\"el-62fe5f5c-c955-462a-8cb0-b117321df2e9\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.37012987012986914% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">lim f (x) = f (0)<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.83495%;top:82.03883%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-0bdea3c7-707c-4b9a-bed0-aa901d8724be\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-e0bc6c0d-83f6-4f81-b366-3cd1b2170433\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-384.99991%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-e705a12f-ee02-4ab8-9ce6-8a7b6db6f606\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">x<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:16.50485%;top:83.17152%;width:3.64078%;height:1.13269%;opacity:1\">\n<div id=\"anim-fc3b6bd9-b2a1-4f12-8fcd-178c011180f9\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-5dbf9a27-7e36-43de-b295-6efed12c3c16\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-553.3328%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" id=\"el-ce0ae3f8-3c77-4ab0-8671-5ff5047443b3\"><svg style=\"display:block;position:absolute;top:0;height:100%;width:auto\" viewBox=\"0 0 17 9\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><title>Arrow<\/title><path d=\"M15.9436 4.43653c.2145-.21452.2145-.56234 0-.77687L12.4477.163723c-.2146-.2145286-.5624-.2145286-.7769 0-.2145.214527-.2145.562346 0 .776874L14.7783 4.0481l-3.1075 3.10749c-.2145.21453-.2145.56235 0 .77688s.5623.21453.7769 0l3.4959-3.49594zm-15.769772.1609H15.5552V3.49876H.173828v1.09867z\" fill=\"#FFECE3\"><\/path><\/svg><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:20.14563%;top:82.20065%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-68bf29b7-02b9-4c59-9af9-3214e3582507\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-0257c396-044e-4425-96b3-e61e0b47278a\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-514.99989%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-1116d5e6-1173-4cfa-93d1-5cf4813b2dae\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">0<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"43adb1bb-2963-4650-a398-53fbf2ac81be\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4777deba-ba53-4633-8b2a-3ae649d9396e\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-eef67657-ed66-4e61-82bf-1e8e701f198f\",\"keyframes\":{\"transform\":[\"translate3d(-116.83848%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-885dd367-7ee1-40cb-ae85-2515834b46d1\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-75fd4b07-6f1c-44f1-834a-efd66e9a83dc\",\"keyframes\":{\"transform\":[\"translate3d(-151.0204%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-22316951-0d0e-41c2-9977-ebe0c2d62f82\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-e78b8a1c-ea57-43a0-befc-039c7f4e53d0\",\"keyframes\":{\"transform\":[\"translate3d(-474.99985%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-7028fd76-caf7-4f16-8879-748af1c4dff2\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-118e8185-b230-4b2b-8a61-6be8390c7e19\",\"keyframes\":{\"transform\":[\"translate3d(-673.33291%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-ad68189d-d67c-4f8c-85c8-8732b6fbfe5d\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-c3613a78-4035-4e65-bf57-2fee4dc2827b\",\"keyframes\":{\"transform\":[\"translate3d(-604.99982%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-6dc8380d-b395-4c90-b5b9-014c898b7da4\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4c1d1996-29a5-4498-8712-1536543ea23d\",\"keyframes\":{\"transform\":[\"translate3d(-313.04357%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-01893dec-7995-42d6-a02e-db7992a847e1\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-07ab8d16-9b9c-4cfd-bed6-bb5ccaf0bf16\",\"keyframes\":{\"transform\":[\"translate3d(-884.99991%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-8b7428c9-763b-465e-b4b5-d2197d76227f\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-65c718c1-5a54-4bc5-9430-9a1c9688d22a\",\"keyframes\":{\"transform\":[\"translate3d(-884.99991%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-88d584de-9940-417a-83e4-550fccf0019c\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-9ed46f6a-353c-4d43-b5c4-f5db909d1c6e\",\"keyframes\":{\"transform\":[\"translate3d(-859.99975%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#842b81\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-f1dd734d-abb0-4a3e-ae23-9bc483278205\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-18.4466%;top:-9.54693%;width:132.28155%;height:68.77023%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-5283734e-ab43-4129-a246-22eb5e1efadd\">\n<div style=\"position:absolute;width:100%;height:271.55707%;left:0%;top:-66.70152%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2.jpg\" alt=\"maths-2\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2.jpg 850w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-768x1626.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-750x1588.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-725x1536.jpg 725w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-484x1024.jpg 484w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-150x318.jpg 150w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-2-142x300.jpg 142w\" sizes=\"(min-width: 1024px) 60vh, 132vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:63.1068%;width:70.63107%;height:8.09061%;opacity:1\">\n<div id=\"anim-4777deba-ba53-4633-8b2a-3ae649d9396e\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-eef67657-ed66-4e61-82bf-1e8e701f198f\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-116.83848%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6872852233676976% 0.6872852233676976% 0.6872852233676976% 0.6872852233676976% \/ 4% 4% 4% 4%\" id=\"el-f26bf31e-1362-4a2b-af19-33ea0e189367\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.19587628865979329% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Applying the same to the given function we can write<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:18.20388%;top:77.50809%;width:35.67961%;height:4.04531%;opacity:1\">\n<div id=\"anim-885dd367-7ee1-40cb-ae85-2515834b46d1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-75fd4b07-6f1c-44f1-834a-efd66e9a83dc\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-151.0204%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.3605442176870748% 1.3605442176870748% 1.3605442176870748% 1.3605442176870748% \/ 8% 8% 8% 8%\" id=\"el-68d7b0c7-2643-43b9-bf0e-b582c8cc054d\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.3877551020408153% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">lim sin( &nbsp;&nbsp;&nbsp;) = k<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:18.20388%;top:80.58252%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-22316951-0d0e-41c2-9977-ebe0c2d62f82\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-e78b8a1c-ea57-43a0-befc-039c7f4e53d0\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-474.99985%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-1f737706-0823-43e5-b319-9706e54f0645\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">x<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:20.87379%;top:81.71521%;width:3.64078%;height:1.13269%;opacity:1\">\n<div id=\"anim-7028fd76-caf7-4f16-8879-748af1c4dff2\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-118e8185-b230-4b2b-8a61-6be8390c7e19\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-673.33291%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" id=\"el-6c602b2f-2a8e-4787-b4e8-d51d5e46bebf\"><svg style=\"display:block;position:absolute;top:0;height:100%;width:auto\" viewBox=\"0 0 17 9\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><title>Arrow<\/title><path d=\"M15.9436 4.43653c.2145-.21452.2145-.56234 0-.77687L12.4477.163723c-.2146-.2145286-.5624-.2145286-.7769 0-.2145.214527-.2145.562346 0 .776874L14.7783 4.0481l-3.1075 3.10749c-.2145.21453-.2145.56235 0 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id=\"el-8f4c0ad6-ca66-457b-9b99-e3221471d992\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">0<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:36.8932%;top:79.61165%;width:4.85437%;height:0.32362%;opacity:1\">\n<div id=\"anim-88d584de-9940-417a-83e4-550fccf0019c\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-9ed46f6a-353c-4d43-b5c4-f5db909d1c6e\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-859.99975%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-72ff9a13-05ba-4122-8c83-1167ee878efa\">\n<div class=\"fill\" style=\"background-color:#edf6f6;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:77.83172%;width:5.58252%;height:3.07443%;opacity:1\">\n<div id=\"anim-6dc8380d-b395-4c90-b5b9-014c898b7da4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-4c1d1996-29a5-4498-8712-1536543ea23d\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-313.04357%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:8.695652173913043% 8.695652173913043% 8.695652173913043% 8.695652173913043% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-c2faf1af-8500-4d6e-8d19-fe757e8dafbf\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.8586956521739064% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">=&gt;<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:38.1068%;top:76.53722%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-01893dec-7995-42d6-a02e-db7992a847e1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-07ab8d16-9b9c-4cfd-bed6-bb5ccaf0bf16\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-884.99991%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-5047e3a2-a33b-431b-8024-f3cf4d549758\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">1<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:38.1068%;top:79.61165%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-8b7428c9-763b-465e-b4b5-d2197d76227f\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-65c718c1-5a54-4bc5-9430-9a1c9688d22a\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-884.99991%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-3790992c-5fc3-461b-84d5-c602bef86d90\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">x<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"379db7b0-8022-43d4-a778-4eb58fc53b5e\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-4aaec79f-8e83-460f-80d5-6f52e1f9821b\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-7e2c4edf-f416-4487-9890-277856a6ae07\",\"keyframes\":{\"transform\":[\"translate3d(-228.94734%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 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style=\"background-color:#842b81\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-1dbcb98e-514b-4d5e-99c2-c456a07661df\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-18.4466%;top:-9.54693%;width:132.28155%;height:68.77023%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-3ac0ec48-653f-428d-a8ff-c9d76d07d5b8\">\n<div style=\"position:absolute;width:100%;height:271.55707%;left:0%;top:-81.14854%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths.jpg\" alt=\"maths\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths.jpg 850w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-768x1626.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-750x1588.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-725x1536.jpg 725w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-484x1024.jpg 484w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-150x318.jpg 150w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/11\/maths-142x300.jpg 142w\" sizes=\"(min-width: 1024px) 60vh, 132vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:63.59223%;width:9.2233%;height:4.04531%;opacity:1\">\n<div id=\"anim-4aaec79f-8e83-460f-80d5-6f52e1f9821b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-7e2c4edf-f416-4487-9890-277856a6ae07\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-228.94734%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:5.263157894736842% 5.263157894736842% 5.263157894736842% 5.263157894736842% \/ 8% 8% 8% 8%\" id=\"el-f7b411dd-7207-4ed4-8ce4-484fdc9ce0c5\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.4999999999999962% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">But<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:22.57282%;top:63.59223%;width:26.94175%;height:4.04531%;opacity:1\">\n<div id=\"anim-b26b5cb5-f1dd-4904-b20d-cbd6cc29c1ef\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-dcc2830a-9e4c-42c2-8475-054431de107b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-183.78379%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.8018018018018018% 1.8018018018018018% 1.8018018018018018% 1.8018018018018018% 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style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-564.99999%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-882d2d4a-c50c-408b-b377-62ac1564d792\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">x<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:25.24272%;top:67.79935%;width:3.64078%;height:1.13269%;opacity:1\">\n<div id=\"anim-ba92fb02-539e-4b2c-afa5-c031e9da68b1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-72660585-212e-4920-be57-7a5e4ce34d2a\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-793.33275%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" id=\"el-28ad7687-65ac-46e0-b591-231e0067bce8\"><svg style=\"display:block;position:absolute;top:0;height:100%;width:auto\" viewBox=\"0 0 17 9\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><title>Arrow<\/title><path d=\"M15.9436 4.43653c.2145-.21452.2145-.56234 0-.77687L12.4477.163723c-.2146-.2145286-.5624-.2145286-.7769 0-.2145.214527-.2145.562346 0 .776874L14.7783 4.0481l-3.1075 3.10749c-.2145.21453-.2145.56235 0 .77688s.5623.21453.7769 0l3.4959-3.49594zm-15.769772.1609H15.5552V3.49876H.173828v1.09867z\" fill=\"#FFECE3\"><\/path><\/svg><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:28.8835%;top:66.82848%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-71326979-6411-4eb3-adf8-0cdb5b92cf52\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-c956f29c-45c1-4444-bcb2-8b55d0a9a02c\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-694.99997%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-06f1adcc-1861-41c8-89be-8b2af556a787\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">0<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:41.01942%;top:65.69579%;width:4.85437%;height:0.32362%;opacity:1\">\n<div id=\"anim-ff54e42a-9c39-436f-9bb5-42d757398450\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-b8b9b4ef-873b-45ad-9316-0ff83b4718f4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-944.99987%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-2811667d-2e42-4462-9c08-98fb875a2b89\">\n<div class=\"fill\" style=\"background-color:#edf6f6;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:42.23301%;top:62.62136%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-9f1cafac-ab7b-405a-98f0-2049cf39437b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-8a747608-7160-47a4-85e8-93616939bfe4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-969.99981%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-f93c28d0-145f-4377-a774-d572bd972a4f\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">1<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:42.23301%;top:65.69579%;width:4.85437%;height:3.07443%;opacity:1\">\n<div id=\"anim-8e34074c-33c6-4593-81db-38310de18f01\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-a605734b-5980-462b-bb27-072488135a2b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-969.99981%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:10% 10% 10% 10% \/ 10.526315789473683% 10.526315789473683% 10.526315789473683% 10.526315789473683%\" id=\"el-dc2a7191-b6be-48e7-975b-97eaa611734c\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.137499999999992% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.242718em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">x<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:72.00647%;width:75.72816%;height:11.97411%;opacity:1\">\n<div id=\"anim-e601838d-7365-46b4-a396-fb229ba9c216\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-8ae82a55-b386-44c6-8113-9c9cea7274ef\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-116.66667%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.641025641025641% 0.641025641025641% 0.641025641025641% 0.641025641025641% \/ 2.7027027027027026% 2.7027027027027026% 2.7027027027027026% 2.7027027027027026%\" id=\"el-87524e72-b6d8-4d24-b988-1715bfe23e5b\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.1826923076923072% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Therefore, for any value of k, the given function cannot be continuous at x = 0.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:49.51456%;top:63.59223%;width:39.07767%;height:4.04531%;opacity:1\">\n<div id=\"anim-a1ab94a1-12fd-4c3f-b67b-b9e0d220ad8b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-bf68c6b1-ed0a-470a-9636-b946ac66230f\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-226.70807%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.2422360248447204% 1.2422360248447204% 1.2422360248447204% 1.2422360248447204% \/ 8% 8% 8% 8%\" id=\"el-325e9377-e126-45a2-8785-21176f8d0462\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.35403726708074446% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">does not exist.<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"ab95b2c7-7eda-40d1-a4c0-d0cf3629fc39\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-79ab94af-5a2e-45c8-a8fc-49ee275c8789 [data-leaf-element=\\\"true\\\"]\",\"keyframes\":{\"transform\":[\"translate(0%, 0%) scale(1.5)\",\"translate(0%, 0%) scale(1)\"]},\"delay\":0,\"duration\":1500,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" 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0)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-15635471-10fe-429e-8b10-7fa5b93e437e\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-ce943465-eb42-46c8-91ae-3163cee749dd\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":1200,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#842b81\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-c2403187-f970-46d0-95a0-4a0fa3632511\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:34.46602%;top:75.08091%;width:9.46602%;height:3.07443%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%;background-clip:content-box;background-color:#c2cda3\" id=\"el-dd029f44-f780-493a-8d9b-e6436bc6ad28\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/maths-important-notes-on-trigonometry-values-for-board-exams\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/cropped-Trigonometry-tips-4-1.jpg\" data-tooltip-text=\"Trigonometry Values Notes for Math Board Exams Revision\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.9207459207459214% 0;font-family:&quot;Inter&quot;,sans-serif;font-size:0.129450em;line-height:1.3;text-align:center;padding:10.256410256410255% 20.51282051282051%;color:#000000\"><span><span style=\"font-weight: 900; color: #212426\">2.<\/span><\/span><\/p>\n<p><\/a><\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:46.35922%;top:75.88997%;width:41.74757%;height:9.06149%;opacity:1\">\n<div id=\"anim-56ab5680-3f82-43f5-be31-4b498b13df26\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-54721f6d-3c5f-4992-bcb3-367f43c300e2\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(128.48839%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.1627906976744187% 1.1627906976744187% 1.1627906976744187% 1.1627906976744187% \/ 3.571428571428571% 3.571428571428571% 3.571428571428571% 3.571428571428571%\" id=\"el-e8d29ed2-9f28-490f-a81e-f8accf030b3c\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/maths-important-notes-on-trigonometry-values-for-board-exams\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/cropped-Trigonometry-tips-4-1.jpg\" data-tooltip-text=\"Trigonometry Values Notes for Math Board Exams Revision\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.5404069767441866% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.210356em;line-height:1.4;text-align:initial;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Trigonometry Values Notes for Math Board Exams Revision<\/span><\/span><\/h3>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:33.98058%;top:55.33981%;width:51.45631%;height:19.7411%;opacity:1\">\n<div id=\"anim-a2eecde6-f8fe-4dc6-a83b-fae81c052de1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-166.03773%, 0px, 0)\">\n<div id=\"anim-9fb40608-957f-47e6-9243-d9b4aea74bd9\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-4ead0a9b-485e-4cef-95e4-7614958adf32\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-f5cde142-ed28-4cd7-9aa2-e561d629f7b0\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/maths-important-notes-on-trigonometry-values-for-board-exams\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/cropped-Trigonometry-tips-4-1.jpg\" 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class=\"mask\" id=\"el-5e3d0b06-2608-44e4-9c6e-049d653c6b7b\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/feature-ten-interesting-facts-about-mathematics-that-will-blow-your-mind\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg\" data-tooltip-text=\"10 Interesting Facts About Maths That Will Blow Your Mind\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<div style=\"position:absolute;width:100%;height:231.60348%;left:0%;top:-65.80174%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg\" alt=\"cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg 640w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1-225x300.jpg 225w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1-150x200.jpg 150w\" sizes=\"(min-width: 1024px) 23vh, 51vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:39.32039%;width:9.46602%;height:3.07443%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0% 0% 0% 0% \/ 0% 0% 0% 0%;background-clip:content-box;background-color:#c2cda3\" id=\"el-32e29284-31da-45c7-a9f7-6d359cad703d\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/feature-ten-interesting-facts-about-mathematics-that-will-blow-your-mind\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg\" data-tooltip-text=\"10 Interesting Facts About Maths That Will Blow Your Mind\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.9207459207459214% 0;font-family:&quot;Inter&quot;,sans-serif;font-size:0.129450em;line-height:1.3;text-align:center;padding:10.256410256410255% 20.51282051282051%;color:#000000\"><span><span style=\"font-weight: 900; color: #212426\">1.<\/span><\/span><\/p>\n<p><\/a><\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:23.05825%;top:40.7767%;width:42.23301%;height:9.38511%;opacity:1\">\n<div id=\"anim-f113ebed-5ee1-4b26-811f-0c3507316ff4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-241387ab-8a1e-4617-a42d-7a7572eb7e18\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(-154.5977%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.1494252873563218% 1.1494252873563218% 1.1494252873563218% 1.1494252873563218% \/ 3.4482758620689653% 3.4482758620689653% 3.4482758620689653% 3.4482758620689653%\" id=\"el-85f4f0d5-96ec-46df-9993-669516476a7c\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/feature-ten-interesting-facts-about-mathematics-that-will-blow-your-mind\/\" data-tooltip-icon=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-Ten-interesting-facts-about-Mathematics-that-will-blow-your-mind-1.jpg\" data-tooltip-text=\"10 Interesting Facts About Maths That Will Blow Your Mind\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.5752873563218387% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.226537em;line-height:1.4;text-align:initial;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">10 Interesting Facts About Maths That Will Blow Your Mind<\/span><\/span><\/h3>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:3.23625%;width:75.97087%;height:6.95793%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6389776357827476% 0.6389776357827476% 0.6389776357827476% 0.6389776357827476% \/ 4.651162790697675% 4.651162790697675% 4.651162790697675% 4.651162790697675%\" id=\"el-26adf380-bdbd-4800-bb2f-2d19a8e506f0\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.7766773162939289% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.550162em;line-height:1.4;text-align:initial;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Read More Stories<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><\/amp-story><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This post helps you to understand the concept of continuity. It has an example problem that shows how to find the value of a function that makes it continuous at x = 0.<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","meta":{"web_stories_publisher_logo":224678,"web_stories_poster":[],"web_stories_products":[],"footnotes":""},"web_story_category":[],"web_story_tag":[],"class_list":["post-244754","web-story","type-web-story","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Value of K That Makes the Given Function Continuous at X = 0 Is - Aakash Blog<\/title>\n<meta name=\"description\" content=\"This post helps you to understand the concept of continuity. 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