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

 

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(a) Compute the Fourier series of the function f(x) = |x| for - < x < π. Hint: Notice that f(x) is an even function. (b) Use the previous part to show that 77² Σ 8 = 1 (2n-1)² n=1 Hint: Apply the point-wise convergence of the Fourier series at x = 0. (a) Compute the Fourier series of the function f(x) = |x| for - < x < π. Hint: Notice that f(x) is an even function. (b) Use the previous part to show that 77² Σ 8 = 1 (2n-1)² n=1 Hint: Apply the point-wise convergence of the Fourier series at x = 0.

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Compute the Fourier series of the function fx x for a1 0 and a2n 0 for all n 0 and b2n1 0 for all n ... View the full answer