JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

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

, when

\alpha \in Q

is equal to

View answer and explanation

Correct option: C

e^{1-\alpha}

Option C (

e^{1-\alpha}

) is correct because the limit can be evaluated by using the binomial expansion and the limit definition of e.

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