A function f(x) of period 2 is defined in the interval x by

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A function f(x) of period 2π is defined in the interval –π ≤ x ≤ π by

S + x (x0) 1 1/2 = x -x (0 x) f(x) =

Sketch a graph of f(x) over the interval –3π ≤ x ≤ 3π. Express f(x) as a Fourier series and from this deduce a numerical series for .

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