JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

The value of

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

, is

View answer and explanation

Correct option: C

-\frac{1}{2 e}

Option C (-1/(2e)) is correct because it is obtained by using the Taylor series expansion of the logarithmic function and simplifying the limit.

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