JEE MATHEMATICS MCQ: LIMITS

1 Hard

1 of 1

Application +4 | -1

\lim _{n \rightarrow \infty} \sum\limits_{{r=1}}^{n} \frac{1}{n} e^{\frac{r}{n}}

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Correct option: B

e-1

Option B (e-1) is correct because the limit of the Riemann sum can be evaluated as a definite integral, which simplifies to e-1.

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\lim \limits_{{x \rightarrow 0}}\left(\frac{1}{x^2}-\operatorname{cosec}^2 x\right)

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