Question 110
Calculate the limit $$
\lim_{n \rightarrow \infty} \frac{1}{n}\left(\frac{1}{n^{k}}+\frac{2^{k}}{n^{k}}+\cdots+\frac{(n-1)^{k}}{n^{k}}+\frac{n^{k}}{n^{k}}\right)
$$ (for the calculation of the limit you can follow the construction procedure of the integral).
\lim_{n \rightarrow \infty} \frac{1}{n}\left(\frac{1}{n^{k}}+\frac{2^{k}}{n^{k}}+\cdots+\frac{(n-1)^{k}}{n^{k}}+\frac{n^{k}}{n^{k}}\right)
$$ (for the calculation of the limit you can follow the construction procedure of the integral).