CBSE Class 12 Sample Paper for 2020 Boards

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

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

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

Go Ad-free

Transcript

Question 12 If the function 𝑓(π‘₯)={(π‘₯^2 βˆ’ 1)/(π‘₯ βˆ’ 1) π‘€β„Žπ‘’π‘› π‘₯β‰ 1 @π‘˜ π‘€β„Žπ‘’π‘› π‘₯=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┬(xβ†’1) 𝑓(π‘₯)=𝑓(1) lim┬(xβ†’1) ((π‘₯^2 βˆ’ 1)/(π‘₯ βˆ’ 1)) =π‘˜ lim┬(xβ†’1) (((π‘₯ βˆ’ 1)(π‘₯ + 1))/(π‘₯ βˆ’ 1)) =π‘˜ lim┬(xβ†’1) (π‘₯+1) =π‘˜ 1 + 1 = k 2 = k k = 2 Therefore, k = 2

Davneet Singh's photo - Co-founder, Teachoo

Made by

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