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let-f-x-n-1-1-n-cos-n-x-sin-nx-1-prove-the-convergence-of-this-serie-2-prove-that-f-is-C-2-on-R-kpi-k-Z-and-calculate-f-x-3-give-a-exprrssion-of-f-

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Question Number 36744 by prof Abdo imad last updated on 05/Jun/18
let f(x)=Σ_(n=1) ^∞ (1/n) cos^n (x)sin(nx) 1)prove the convergence of this serie 2)prove that f is C^2 on R −{kπ,k∈Z}and calculate f^′ (x) 3) give a exprrssion of f.
letf(x)=∑n=1∞1ncosn(x)sin(nx)1)provetheconvergenceofthisserie2)provethatfisC2onR−{kπ,k∈Z}andcalculatef′(x)3)giveaexprrssionoff.

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