Consider the function f(x) = - X 1 + x " 2 −1 < x < 0 0 ≤ x ≤ 1 (a) Sketch the graph of f(x) for -3 < x≤ 3. (b) Find the Fourier series of the function. (c) Use the series in (b) to find the sum 1+ 25 f(x+2) = f(x) 49 VxER.

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