Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

If $(x)$ is differentiable and strictly increasing function then the value of $\lim\limits_{x\to 0}\large\frac{f(x^2)-f(x)}{f(x)-f(0)}$ is


Can you answer this question?

1 Answer

0 votes
Let $L=\lim\limits_{x\to 0}\large\frac{f(x^2)-f(x)}{f(x)-f(0)}$
$f'(a) > 0$ $f$ being strictly increasing.
Using LH Rule we get
$L=\lim\limits_{x\to 0}\large\frac{f'(x^2).2x-f'(x)}{f'(x)}$$-1$
Hence (c) is the correct answer.
answered Dec 20, 2013 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App