JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

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

, where

n=100

is equal to

View answer and explanation

Correct option: C

-\frac{5050}{\pi e}

Option C (-

\frac{5050}{\pi e}

) is correct because the limit is evaluated using L'Hôpital's Rule and series expansion.

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