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 (- x)

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 odd function.
(b) Prove that the Fourier coefficients ak are all zero if f is odd.

f(x) dx = 0

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