Question: Use Exercise 10.7.6 to prove that if f is continuous and periodic on [0. 2Ï] and for k = 0,1,..., then f(x) = 0 for

Use Exercise 10.7.6 to prove that if f is continuous and periodic on [0. 2Ï€] and
Use Exercise 10.7.6 to prove that if f is continuous

for k = 0,1,..., then f(x) = 0 for all x ˆˆ [a, b].

2T f (x) cos(kx) dx = f(x) sin(kx) dx = 0

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