4. (20 pts) Given (a) (11 pts) find the Fourier series of f(x); For the following three questions, show the graph with a

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4 20 Pts Given A 11 Pts Find The Fourier Series Of F X For The Following Three Questions Show The Graph With A 1 (19.91 KiB) Viewed 24 times

4. (20 pts) Given (a) (11 pts) find the Fourier series of f(x); For the following three questions, show the graph with at least three periods, that is, x € (-3,3). (b) (3 pts) sketch the Fourier series of f(x): (c) (3 pts) sketch the Fourier sine series of f(x) (the part defined on [0,1]); (d) (3 pts) sketch the Fourier cosine series of f(x) (the part defined on [0,1]). (3, 1<x<0 f(x) = {2-x. 0<x< 1