The value of $\mathop {\lim }\limits_{x \to 1} {\left( {2 - x} \right)^{\tan \frac{{\pi x}}{2}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim\limits_{x \to 1} {\left( {2 - x} \right)^{\tan \frac{{\pi x}}{2}}}

is equal to

View answer and explanation

Correct option: C

{e^{2/\pi }}

Option C (

{e^{2/\pi }}

) is correct because the limit can be evaluated by using L'Hopital's rule after rewriting the expression.

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