f(x) is a differentiable periodic function of period 2 The Fourier series for its derivative f'(x) is 1 (13) nsin (nx) (a) Find the Fourier series for f(x) if (0) 2 (Hint geometric series ) (b) Explain why f(x) is infinitely differentiable (i e f(x) exists for any positive integer k) f(x) is a dif...

a To find the Fourier series for fx given that f0 2 we start by considering the Fourier series for t ...

f(x) is a differentiable periodic function of period 2. The Fourier series for its derivative f'(x)...

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f(x) is a differentiable periodic function of period 2. The Fourier series for its derivative f'(x)...

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