1. Consider the function f defined by f(x) =| sin x |, for - T < x < T. a) Find the Fourier series of f. b) Sketch the graph of the function to which the series converges point- wise on R. Use the pointwise convergence theorem to justify your answer. c) By choosing a suitable value of x in the series that you have found, show that Ek=1 1 4k2 1

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