In each of Problems 1 through 6, assume that the given function is periodically extended outside the original interval. a. Find the Fourier series for the extended function. b. Sketch the graph of the function to which the series converges for three periods. 1. f(x) = { 2. f(x) = ={º -1, 1, T≤ x < 0, 0<x<* [0, <x< 0, 0<x<* -*

Fig: 1