A periodic function, is defined by

 

(a) Sketch the graph of the periodic function.

(b) Find the Fourier series of f(t).

(c) The Fourier series that you obtained is a representation of the periodic function, f(t). From your result, sketch on the same graph, for -π

(i) The periodic function and the first term of the Fourier series, which means n = 0.

(ii) The periodic function and the first three terms of the Fourier series, which means n = 0,1.

(iii) The periodic function and the first five terms of the Fourier series, which means n = 0.1, 2.

f(n)= [++e'. f(1) = f(t+2m) -#