Check sibling questions

CBSE Class 12 Sample Paper for 2020 Boards

CBSE Class 12 Sample Paper for 2019 BoardsΒ β†’
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 March 23, 2023 by

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

If the function f(x) = {(x^2Β  - 1)/(x - 1) when x β‰  1,Β  k when x = 1 }

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

This video is only available for Teachoo black users

Subscribe Now

Get live Maths 1-on-1 Classs - Class 6 to 12

Book 30 minute class for β‚Ή 499 β‚Ή 299

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

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.