1-let-n-Nand-A-n-0-pi-dx-1-cos-2-nx-calculate-A-n-2-f-C-0-0-pi-R-find-lim-n-0-pi-f-x-1-cos-2-nx-dx-

Question Number 32348 by abdo imad last updated on 23/Mar/18

1) l e t n \in N a n d A_{n} = \int_{0}^{π} \frac{d x}{1 + {c o s}^{2} (n x)} . c a l c u l a t e A_{n}

2) f \in C^{0} ([0, π], R) f i n d {l i m}_{n \to \infty} \int_{0}^{π} \frac{f (x)}{1 + {c o s}^{2} (n x)} d x .