It is required that we recognize Riemann's sum. $$\lim _{n\to\infty} \frac{1^e+2^e+\cdots +n^e}{n^{e+1}}$$ $$\lim _{n \to\infty} \frac{1}{n} \sum_{k=1}^{n} \left( \frac{k}{n} \right)^e$$ $$ \int_0^{1} x^e dx =\frac{1}{e+1}$$
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2026-03-28 08:10:28.1774685428
Is my solution of $\lim _{n\to\infty} \frac{1^e+2^e+\cdots +n^e}{n^{e+1}}$ correct?
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