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

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

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

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Correct option: B

e - 1

Option B (e - 1) is correct because the limit of the Riemann sum is equal to the definite integral of e^x from 0 to 1, which evaluates to e - 1.

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