Abstract
00 B. Given a trigonometric series Ek=l (Ak cos kx + Bk sin kx), find a function f (x) such that the given trigonometric series is its Fourier series (then we can find the sum of the given trigonometric series). Upon learning the theory of Fourier series, we know questions of type A are straightforward but questions of type B are not, for a given trigonometric series may not even be a Fourier series, as
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