1.Find the Fourier series of the given function , which is assumed to have the period 2 . Show the details of your work. Sketch or graph the partial sums up to that including Cos5x and sin5x.
Is the given function even or odd or neither even nor odd? Find its Fourier series. Show details of your work.
3.Using above prove that the series has the indicated sum. Compute the first few partial sums to see that the convergence is rapid.
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