I have to find the Fourier series for the function f(x) = sin(4x), but no matter what I find _all_ the Fourier coefficients to be zero; i.e. [tex] (2\pi)^{-1}\int_{-\pi}^{\pi}sin(4x)e^{-inx}dx = 0 [/tex] for all n.(adsbygoogle = window.adsbygoogle || []).push({});

I can't see the point in finding the Fourier series for sin(4x) anyway, since the function is simple harmonical - but shouldn't some of the coefficients be non-zero?

I'm new to the subject, so please excuse me if the answer is obvious...

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# Find the Fourier series for the function f(x) = sin(4x)

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