Question
The value of $\lim _{n \rightarrow \infty}\left(\frac{1}{n}+\frac{e^{1 / n}}{n}+\frac{e^{2 / n}}{n}+\ldots+\frac{e^{(n-1) / n}}{n}\right)$ is(A) 1(B) 0(C) $e-1$(D) $e+1$
Step 1
Step 1: We are given the expression $\lim _{n \rightarrow \infty}\left(\frac{1}{n}+\frac{e^{1 / n}}{n}+\frac{e^{2 / n}}{n}+\ldots+\frac{e^{(n-1) / n}}{n}\right)$ and we need to find its limit as $n$ approaches infinity. Show more…
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