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Let f(x) = |x| for −1 ≤ x ≤ 1 and extend f periodically to R...

Let f(x) = |x| for −1 ≤ x ≤ 1 and extend f periodically to R by f(x + 2) = f(x).
Complete the following:

(a) Draw a picture of f.

(b) Calculate the Fourier series for f thought of as an element of  L 2 [−1, 1].

(PDE)

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