JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

l=\lim \limits_{{x \rightarrow 0}} \frac{\tan x^n}{(\tan x)^m}

, where

m, n \in N

, then

View answer and explanation

Correct option: C

l= \begin{cases}1, \text { if } n=m \\ 0, \text { if } n > m\end{cases}

The correct answer is

l= \begin{cases}1, \text { if } n=m \\ 0, \text { if } n > m\end{cases}

because the limit depends on the relationship between

n

and

m

. When

n=m

, the limit is 1, and when

n>m

, the limit is 0.

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