Problem 2. (6 points) Let f(t) be a function with an arbitrary period T. Then f(t) has a complex Fourier series f (t ) = Cneinwt 2 TT , where w = T n= -00 By imitating the derivation in the notes, show that T CK f (t)e-ikwt dt. T Also give formulas for an and on such that f (t) = co+ an cos(wnt) + bn sin(wnt)