1. Determine the Fourier series for the periodic function: -2, when -π <x<0 f(x)= +2, when 0<x< Which is periodic outside this range of period 27. π 2. For the Fourier series in Problem 1, deduce a series for at the point where 3. For the waveform shown in the following figure determine (a) the Fourier series for the function and (b) the sum of the Fourier series at the points of discontinuity. 4. f(x) 4 1 -3 2 77 0 F 2 2 3п 2 Find the term representing the third harmonic for the periodic function of period 27 given by: 0. when - <<0 f(x)= 1. when 0 < x < 5. Show that the Fourier series for the periodic function of period 277 defined by f(0) = { 0. when -<<0 sine, when 0<< is given by: 2 cos 20 cos40 f(0) = -- J (3) (3)(5) cos 60 (5)(7) _)