Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • provide solution for RD Sharma maths class 12 chapter 8 Continuity exercise Fill in the blanks question 10

provide solution for RD Sharma maths class 12 chapter 8 Continuity exercise  Fill in the blanks question 10

Answers (1)

Answer: 2

Hint: Use the formula of (a^{2}-b^{2})

Given:f(x)=\left\{\begin{array}{cl} \frac{x^{2}-1}{x-1}, & x \neq 1 \\ k & , x=1 \end{array} \text { is continuous at } x=1\right.

Solution:

               If f(x) is continuous at x=1, then

                \begin{aligned} &\lim _{x \rightarrow 1} f(x)=f(1) \\ &\lim _{x \rightarrow 1} \frac{x^{2}-1}{x-1}=k \end{aligned}

                \lim _{x \rightarrow 1} \frac{(x-1)(x+1)}{x-1}=k \; \; \; \; \; \; \; \; \quad\left[\because\left(a^{2}-b^{2}\right)=(a+b)(a-b)\right]

                \begin{aligned} &\lim _{x \rightarrow 1} x+1=k \\ &1+1=k \\ &k=2 \end{aligned}

                

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2027 (OUT) LIVE: Class 10, 12 exams from February 16; more than 46 lakh students to appear
anam-khan

CBSE Class 12 exams clash with Holi on March 22; will board revise date sheet?
anam-khan

CBSE Class 12 West Asia result 2026 out; check marks on DigiLocker

Latest Question