JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Understanding +4 | -1

\lim \limits_{{n \rightarrow \infty}} \frac{1}{n}\left\{1+e^{1 / n}+e^{2 / n}+e^{3 / n}+\ldots .+e^{\frac{n-1}{n}}\right\}

is equal to

View answer and explanation

Correct option: C

e-1

Option C (

e-1

) is correct because the limit can be expressed as a Riemann sum, which evaluates to the integral of e^x from 0 to 1.

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