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Let f(x) = |x| for1 S x g 1. (a) Sketch the periodic extension of f (x) for 4 g x g 4. (b) Compute

Let f(x) = |x| for1 S x g 1. (a) Sketch the periodic extension of f (x) for 4 g x g 4. (b) Compute the Fourier series of f and argue for which values of x we have the equality

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