I think I have to use Riemann sum to solve the question below but i could not succeed. Thanks for your helpful hints or answers.
$$\lim_{n\to\infty}\sum_{k=1}^n\frac{k}{n^2}\cos\big(\frac{k}{n^2}\big)$$
2026-03-31 01:02:48.1774918968
a question on riemann integration limits
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As now you have changed the question the limit is now $$\int _0 ^1 x\cos (x) dx=\sin (1)+\cos (1) $$