Assume that f(x) has a Fourier series f (x) = (an cos(- -x)+ b, sin(x)), L -L < x < L n=1 a. Show that 1 n=1 which is known as Parseval's equality. b. Find the Fourier sine series of the function f(x) = x, хе (0, L). c. Use the Parseval's equality and the result in Part b to give a formula for the universal constant T as 1 1 1+ 22 ... 32 n=1 - IM:

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