The derivative of function $f\left( x \right)$ is ${\tan ^4}x$. If $f\left( x \right) = 0$, then $\mathop {\lim }\limits_{x \to 0} \frac{{f\left( x \right)}}{x}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The derivative of function

f\left( x \right)

{\tan ^4}x

. If

f\left( x \right) = 0

, then

\lim\limits_{x \to 0} \frac{{f\left( x \right)}}{x}

is equal to

View answer and explanation

Correct option: B

Option B (0) is correct because by applying L'Hopital's rule, the limit is equal to the limit of the derivative of the function, which is 0.

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