Consider the function f: [-, ) R defined by 1, if - x T f(x) 0, if -x -1, if < x (b) Give those values of x for which S(x) = f(x) and those values of x for which S(x) = f(x). (c) Determine ao, general expressions for every a and b and show that the Fourier series S of f is S(x) = = 2 T n=1 (-1)" - cos(") sin(nx). n