let-f-n-x-nsin-2n-1-x-cos-x-then-the-value-of-lim-n-0-pi-2-f-n-x-dx-0-pi-2-lim-n-f-n-x-dx-

Question Number 197562 by universe last updated on 21/Sep/23

let f_{n} (x) = {nsin}^{2 n + 1} x \cos x then the value of

\lim_{n \to \infty} \int_{0}^{π / 2} f_{n} (x) dx - \int_{0}^{π / 2} (\lim_{n \to \infty} f_{n} (x)) dx = ?