Consider the function. M) ={ 3312:: '3 i j: Z 3, f(sv+4) = x) (a) Sketch the graph of f (as) for three periods f 8 6 4 (b) Find the Fourier series of f (at) m = (c) Use a graphing utility to draw the partial sum 371(27) for increasing values of n. Observe how the Fourier series converges. (b) Find the Fourier series of f (x) f ( 2) = Choose one Choose one 1 + (m - 1)TX ( - 1 ) m (m + 1)ax m=1 (2m - 1)4 COS + sin (c) Use a 2 TT m= 1 m 2 as value 16 1 + (2m - 1)TX 4 (-1)m max sin + (2m - 1)2 COS m=1 2 2 m= 1 m 16 (2m - 1)Tx ( - 1 ) m 1+ -2 4 mTX COS + - sin m= 1 (2m - 1)2 2 m=1 m 2 1 1 + E (2m - 1)Tx sin 4 1 + COS m = 1 2m 2 E TT m=1 m 1 2m - 1 1x 4 H 1+ - COS + - sin TT 2m - 1 m= 1 2 m= 1 m 2