1)let n ∈Nand A_n = ∫_0 ^π (dx/(1+cos^2 (nx))) .calculate A_n 2) f∈ C^0 ([0,π], R) find lim_(n→∞) ∫


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

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