Question: (a) Compute the Fourier series of the function f(x) = |x| for - < x < . Hint: Notice that f(x) is an even

(a) Compute the Fourier series of the function f(x) = |x| for

(a) Compute the Fourier series of the function f(x) = |x| for - < x < . Hint: Notice that f(x) is an even function. (b) Use the previous part to show that 77 8 = 1 (2n-1) n=1 Hint: Apply the point-wise convergence of the Fourier series at x = 0.

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