JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim _{\lambda \rightarrow 0}\left(\int_0^1(1+x)^\lambda d x\right)^{1 / \lambda}

is equal to

View answer and explanation

Correct option: B

\frac{4}{e}

Option B (4/e) is correct because, after evaluating the integral and applying L'Hopital's rule, the limit is found to be 4/e.

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