Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Let f(x) be a function differentiable at x=c. Then  <img alt="\mathrm{\lim _{x \rightarrow c} f(x)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Clim%20_%7Bx%2

Let f(x) be a function differentiable at x=c. Then  \mathrm{\lim _{x \rightarrow c} f(x)}  equals

Option: 1

\mathrm{f^{\prime}(c)}


Option: 2

\mathrm{f^{\prime \prime}(c)}


Option: 3

\mathrm{\frac{1}{f(c)}}


Option: 4

none of these.


Answers (1)

best_answer

Since f(x) is differentiable at x=c, therefore it is continuous at x=c. Hence, \mathrm{\lim _{x \rightarrow c} f(x)=f(c)}

Posted by

avinash.dongre

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