The value of $\mathop {\lim }\limits_{x \to \frac{\pi }{2}} {\left( {\sin x} \right)^{\tan x}}$ is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim\limits_{x \to \frac{\pi }{2}} {\left( {\sin x} \right)^{\tan x}}

View answer and explanation

Correct option: A

Option A (1) is correct because by taking the logarithm and applying L'Hopital's rule, the limit simplifies to 1.

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