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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 Dec. 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 ________ 

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
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2020 Boards

    CBSE Class 12 Sample Paper for 2019 Boards →
CBSE Class 12 Sample Paper for 2019 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Davneet Singh

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 and Computer Science at Teachoo