Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • need solution for RD Sharma maths class 12 chapter 8 Continuity exercise Very short answer question 3

need solution for RD Sharma maths class 12 chapter 8 Continuity exercise Very short answer question 3

Answers (1)

Answer: 2

Hint: \lim _{x \rightarrow 0} f(x)=f(0)

Given: f(x)=\frac{x}{1-\sqrt{1-x}}

Explanation: We have to findf(0) when f(x) becomes continuous at x = 0

                    i.e.,

                    \Rightarrow \lim _{x \rightarrow 0} f(x)=f(0)

                    \Rightarrow \lim _{x \rightarrow 0} \frac{x}{1-\sqrt{1-x}}=f(0)

                    Applying L’Hospital rule as the function is in 0/0 form,

                    \begin{aligned} &=>\lim _{x \rightarrow 0} \frac{1}{\frac{-1(-1)}{2 \sqrt{1-x}}}=f(0) \\ &\Rightarrow \lim _{x \rightarrow 0} 2 \sqrt{1-x}=f(0) \\ &\Rightarrow 2 \sqrt{1-0}=f(0) \end{aligned}

                    Hence, f(0)=2

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 Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14

Latest Question