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Question: Incorrect result of an infinite Fourier series

Question:Incorrect result of an infinite Fourier series

pawelke@fh-aachen.de 15 Maple
sum fourier
February 18 2013
2

The sollowing sum S is a Fourier series of a non constant function. But the Maple result is a constant value of the function hypergeom. That can't be true.

 

S:=Sum((-1)^(1+k)*cos(2*Pi*k*x)/(-1+16*Pi^2*k^2), k = 1 .. infinity);

S=value(%);
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