{"id":468,"date":"2020-09-18T10:18:39","date_gmt":"2020-09-18T05:18:39","guid":{"rendered":"https:\/\/talib.pk\/test-preparation\/?p=468"},"modified":"2020-09-18T10:18:39","modified_gmt":"2020-09-18T05:18:39","slug":"2nd-year-maths-chapter-1-functions-and-limits-mcqs-with-answers","status":"publish","type":"post","link":"https:\/\/talib.pk\/test-preparation\/2nd-year-maths-chapter-1-functions-and-limits-mcqs-with-answers\/","title":{"rendered":"2nd Year Maths Chapter 1 Functions and Limits MCQs with Answers"},"content":{"rendered":"<div class=\"28d95f43054b69d67289d6316e9506d8\" data-index=\"1\" style=\"float: none; margin:12px 0 12px 0; text-align:center;\">\n<script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\r\n<!-- talib-new -->\r\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block\"\r\n     data-ad-client=\"ca-pub-3438155045791616\"\r\n     data-ad-slot=\"6774242552\"\r\n     data-ad-format=\"auto\"><\/ins>\r\n<script>\r\n(adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n<p>Get the important 2nd Year Maths Chapter 1 Functions and Limits MCQs with Answers here for the Entry Test preparations. 2nd Year Math is tough than the 1st year but if you have studied well, then it is easy to get good marks in the entry test. The University you are applying for the admission takes an entry test first. So, you need to pass the test to move further. The test contains MCQs that are difficult. So, you need to prepare for the entry test. For this, there are several academies offering Entry Test preparations but you can prepare very well from this site online. Here, we are providing the most important questions of this chapter that is about Functions and Limits. They have different types and have important formulae. So, have a look down on this page to get important MCQs.<\/p>\n<h2 style=\"text-align: center;\">2nd Year Maths Chapter 1 Functions and Limits MCQs with Answers<\/h2>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-469 aligncenter\" src=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-12.jpg\" alt=\"2nd Year Maths Chapter 1 Functions and Limits MCQs with Answers\" width=\"300\" height=\"300\" srcset=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-12.jpg 300w, https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-12-150x150.jpg 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>1<\/strong><\/span>: lim<sub>x<\/sub> <sub>\u21920<\/sub> e<sup>-1\/x4<\/sup> =?<\/p>\n<ul>\n<li>\u221e<\/li>\n<li>0<\/li>\n<li>-1<\/li>\n<li>1<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<b>0<\/b>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>2<\/strong><\/span>: \u00a0lim<sub>x\u21923<\/sub> 4x-8\/x+2=?<\/p>\n<ul>\n<li>-6<\/li>\n<li>20<\/li>\n<li>-20<\/li>\n<li>4\/5<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>4\/5<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>3<\/strong><\/span>: lim<sub>z\u21920 <\/sub>sinpz\/mz=?<\/p>\n<ul>\n<li>0<\/li>\n<li>\u221e<\/li>\n<li>1\/m<\/li>\n<li>p\/m<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>p\/m<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>4<\/strong><\/span>: Inverse function of y= x\/x+5 is:<\/p>\n<ul>\n<li>x\/x+5<\/li>\n<li>x\/x-5<\/li>\n<li>x\/1-x<\/li>\n<li>5x\/1-x<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>5x\/1-x<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>5<\/strong><\/span>: The graph of the function y=logx has an asymptote at______.<\/p>\n<ul>\n<li>y=0<\/li>\n<li>x=0<\/li>\n<li>x=10<\/li>\n<li>y=10<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>x=0<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>6<\/strong><\/span>: lim<sub>x\u2192<\/sub>\u221e (x\/1+x)<sup>x<\/sup>=?<\/p>\n<ul>\n<li>e<\/li>\n<li>e<sup>-1<\/sup><\/li>\n<li>e<sup>2<\/sup><\/li>\n<li>1\/e<sup>2<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>e<sup>-1<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>7<\/strong><\/span>: If f(x) = x<sup>2<\/sup>-1\/x<sup>2<\/sup> then f(x) =?<\/p>\n<ul>\n<li>-f (1\/x)<\/li>\n<li>f(1\/x)<\/li>\n<li>f(x)<\/li>\n<li>f(x<sup>2<\/sup>)<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>-f (1\/x)<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>8<\/strong><\/span>: Which of the following is an implicit function?<\/p>\n<ul>\n<li>y= x-1<\/li>\n<li>y-1=x<sup>2<\/sup><\/li>\n<li>x<sup>2<\/sup>+y=2=0<\/li>\n<li>x<sup>2<\/sup>+xy+y<sup>2<\/sup>=9<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>x<sup>2<\/sup>+xy+y<sup>2<\/sup>=9<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>9<\/strong><\/span>: For a function if right hand limit = left hand limit then which of the following must be true?<\/p>\n<ul>\n<li>Function is continuous<\/li>\n<li>Function has the same domain and range<\/li>\n<li>Function is defined<\/li>\n<li>Its limit exists<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>Its limit exists<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>10<\/strong><\/span>: The domain of y=\u221a-x is:<\/p>\n<ul>\n<li>(0, \u221e)<\/li>\n<li>R<\/li>\n<li>(-\u221e, 0)<\/li>\n<li>(-\u221e, ]<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>(-\u221e, ]<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>11<\/strong><\/span>: f(x)= acosx where g(x)= x<sup>3<\/sup>, then f\u2019og(x)=?<\/p>\n<ul>\n<li>-asinx<sup>3<\/sup><\/li>\n<li>asinx<sup>3<\/sup><\/li>\n<li>-acosx<sup>4<\/sup><\/li>\n<li>acosx<sup>3<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>-asinx<sup>3<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>12<\/strong><\/span>: When x approaches to positive infinity then limit lnx\/x is equal to:<\/p>\n<ul>\n<li>1<\/li>\n<li>e<\/li>\n<li>0<\/li>\n<li>\u221e<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<b>0<\/b>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>13<\/strong><\/span>: The horizontal asymptote for f(x)= 3x+1\/2x-1<\/p>\n<ul>\n<li>y=1\/2<\/li>\n<li>x=3\/2<\/li>\n<li>y=3\/2<\/li>\n<li>Not possible<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>y=3\/2<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>14<\/strong><\/span>: f(x)= secx tanx is a:<\/p>\n<ul>\n<li>Odd function<\/li>\n<li>Even function<\/li>\n<li>Neither even or odd<\/li>\n<li>None of these<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>Odd function <\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><strong><span style=\"color: #ff6600;\">15<\/span><\/strong>: If f(\u03c0)= \u03c0<sup>2<\/sup>-2 \u03c0-1, then f(a-1)=?<\/p>\n<ul>\n<li>a<sup>2<\/sup>-2a-1<\/li>\n<li>a<sup>2<\/sup>-1<\/li>\n<li>a<sup>2<\/sup>-4a<\/li>\n<li>a<sup>2<\/sup>-4a+2<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>a<sup>2<\/sup>-4a+2<\/strong>\n\t\t\t<\/div><\/div>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Get the important 2nd Year Maths Chapter 1 Functions and Limits MCQs with Answers here for the Entry Test preparations. 2nd Year Math is tough than the 1st year but if you have studied well, then it is easy to get good marks in the entry test. The University you are applying for the admission &hellip;<\/p>\n","protected":false},"author":2,"featured_media":469,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/468"}],"collection":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/comments?post=468"}],"version-history":[{"count":0,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/468\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media\/469"}],"wp:attachment":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media?parent=468"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/categories?post=468"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/tags?post=468"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}