f-continue-on-0-1-calculate-lim-n-1-n-k-0-n-n-k-k-n-k-1-n-f-x-dx-

Question Number 129870 by Bird last updated on 20/Jan/21

f c o n t i n u e o n [\bar{01}] c a l c u l a t e

{l i m}_{n \to + \infty} \frac{1}{n} \sum_{k = 0}^{n} (n - k) \int_{\frac{k}{n}}^{\frac{k + 1}{n}} f (x) d x