(a) A periodic function f(t), of period 2, is defined in t by...

(a) A periodic function f(t), of period 2π, is defined in –π ≤ t ≤ π by

Obtain a Fourier series expansion for f(t).
(b) By formally differentiating the series obtained in (a), obtain the Fourier series expansion of the periodic square wave

Check the validity of your result by determining directly the Fourier series expansion of g(t).

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f(t) = (- t 0) t (0 t)