$\mathop {\lim }\limits_{n \to \infty } {\left( {1 + \sin \frac{a}{n}} \right)^n}$ equals

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\lim\limits_{n \to \infty } {\left( {1 + \sin \frac{a}{n}} \right)^n}

equals

View answer and explanation

Correct option: A

{e^a}

Option A (

{e^a}

) is correct because by rewriting the expression in the form of the exponential limit, the limit can be evaluated to

{e^a}

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