Q. The derivative of function $f(x)$ is$\tan^{4}x$. If $f(x) = 0$, then $\lim_{x \rightarrow 0}\frac{f(x)}{x}$is equal to
A) 1
B) 0
C) -1
D) None of these
Explanation
(b)
$\lim_{x \rightarrow 0}\frac{f(x)}{x} = \lim_{x \rightarrow 0}\frac{f'(x)}{1}$
$= \lim_{x \rightarrow 0}{\frac{\tan^{4}x}{1} = 0}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.