Obtain the Fourier series expansion of the periodic function f(t) of period 2 defined over the period

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Obtain the Fourier series expansion of the periodic function f(t) of period 2π defined over the period 0 ≤ t ≤ 2π by

f(t) = (nt) (0 t 2)

Use the Fourier series to show that

n (-1) +1 l=w 3 = 24

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