If one finds the complex Fourier series for f(x) = x for 0 < x <...

 

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If one finds the complex Fourier series for f(x) = x for 0 < x < 27 by periodically extending the function such that f(x + 2an) = f(x) for n = 0, +1, +2... then the Fourier series evaluated at x = 0 would be If one finds the complex Fourier series for f(x) = x for 0 < x < 27 by periodically extending the function such that f(x + 2an) = f(x) for n = 0, +1, +2... then the Fourier series evaluated at x = 0 would be

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