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

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

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

, is

View answer and explanation

Correct option: B

Option B (1) is correct because by applying L'Hopital's rule after taking the natural logarithm, the limit can be evaluated to 0, and e⁰ = 1.

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