Question 12 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

If the function f (x) = {(x ² - 1)/(x - 1) when x ≠ 1, k when x = 1 } is given to be continuous at x = 1, then the value of k is ________

$If the function f(x) = {(x^2 - 1)/(x - 1) when x ≠ 1, k when x = 1 }$

Question 12 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

Transcript

Question 12 If the function 𝑓(𝑥)={(𝑥^2 − 1)/(𝑥 − 1) 𝑤ℎ𝑒𝑛 𝑥≠1 @𝑘 𝑤ℎ𝑒𝑛 𝑥=1 )┤is given to be continuous at x = 1, then the value of k is ________ Since f(x) is continuous at x = 1, then lim┬(x→1) 𝑓(𝑥)=𝑓(1) lim┬(x→1) ((𝑥^2 − 1)/(𝑥 − 1)) =𝑘 lim┬(x→1) (((𝑥 − 1)(𝑥 + 1))/(𝑥 − 1)) =𝑘 lim┬(x→1) (𝑥+1) =𝑘 1 + 1 = k 2 = k k = 2 Therefore, k = 2

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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