$\mathop {\lim }\limits_{x \to 0} {\left\{ {\frac{{1 + \tan x}}{{1 + \sin x}}} \right\}^{{\rm{cosec}}x}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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\lim\limits_{x \to 0} {\left\{ {\frac{{1 + \tan x}}{{1 + \sin x}}} \right\}^{\mathrm{cosec}x}}

is equal to

View answer and explanation

Correct option: B

Option B (1) is correct because by rewriting the expression and using the limit definition of e, the limit simplifies to 1.

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