Answer to Question #257364 in Real Analysis for saduni

Question #257364

If 𝑓 is a continuous function on [0,1], show that lim_n->infinity∫ ¹₀(𝑛𝑓(𝑥) )/(1+𝑢²𝑥 ² ) 𝑑x = 𝜋/ 2 𝑓(0).

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