(a) Compute and simplify S(x) (the Fourier series of f). (b) Simplify the expression of S(7). (It will involve a sum). (c) Using Dirichlet's theorem, find S(x). (Hint: think about the periodic extension of f, what is f(n¯) and f(a+)). (d) Use (b) and (c) to show that 9. 16 25 WI

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