$\mathop {\lim }\limits_{n \to \infty } \,\,\mathop \sum \nolimits_{r = 1}^n \,\,\frac{1}{n}\,\,{e^{r/n}}\,\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\lim\limits_{n \to \infty } \,\,\sum \nolimits_{r = 1}^n \,\,\frac{1}{n}\,\,{e^{r/n}}\,\,\mathrm{is}

View answer and explanation

Correct option: B

e\,\, - \,\,1

Option B (

e\,\, - \,\,1

) is correct because the limit of the sum can be expressed as a definite integral and then evaluated.

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