Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

If  \mathrm{ f^{\prime}(a)=2}  and f(a)=4, then \mathrm{ \lim _{x \rightarrow a} \frac{x f(a)-a f(x)}{x-a}}  equals

Option: 1

2 a-4


Option: 2

4-2 a


Option: 3

2 a+4


Option: 4

none of these


Answers (1)

best_answer

\mathrm{ \lim _{x \rightarrow a} \frac{x f(a)-a f(x)}{x-a} \\ }

\mathrm{ =\lim _{x \rightarrow a} \frac{x f(a)-a f(a)-a(f(x)-f(a)}{x-a} \\ }

\mathrm{ =\lim _{x \rightarrow a} \frac{f(a)(x-a)}{x-a}-a \lim _{x \rightarrow a} \frac{f(x)-f(a)}{x-a} \\ }

\mathrm{ =f(a)-a f^{\prime}(a)=4-2 a . }

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main Marks vs Percentile 2025: How many marks do you need to score 95+ percentile?
anam-khan

JEE Main 2025 session 1 official answer key out; challenge by February 6; how to calculate NTA score?
anam-khan

JEE Main 2025: NIT Raipur's CSE cut-offs drop; closing ranks in popular branches

Latest Question