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

JEE MATHEMATICS MCQ: LIMITS

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

View answer and explanation

Correct option: B

{e^{2/\pi }}

Option B (

{e^{2/\pi }}

) is correct because the limit can be evaluated by substituting and using standard limit formulas.

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