A periodic function, is defined by (a) Sketch the graph

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 < t < 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.

 

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