Question

what is the maclaurin series of e^x X sinx?…

Answer 1

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Answer 2

e^x = 1 + x + (x^2)/2! + (x^3)/3! ...
sinx = x - (x^3)/3! + (x^5)/5! - (x^7)/7! ...
so (e^x) x (sinx) = sum from n=0 to n=infinity of (x^(3n+1))(-1^n)/(n!)((2n+1)!)