JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

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

is equal to

View answer and explanation

Correct option: B

e^{1-a}

Option B (

e^{1-a}

) is correct because the limit can be evaluated using L'Hopital's rule and properties of exponential functions.

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