Question: Recall that a function f is an even function if f(- x) = f(x) for all x;f is called an odd function if f (-

Recall that a function f is an even function if f(- x) = f(x) for all x;f is called an odd function if f (- x) = - f (x) for all x.
(a) Prove that
Recall that a function f is an even function if

if f is an even function.
(b) Prove that the Fourier coefficients bk are all zero if f is even.

f(x)dx= 2 | f(x) dx

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