g(x)=2n-x for xe(0, It). f(x) is a odd halvperiodic extension of g(x) a) Sketch the graph for f(x) in area (-21,21) b) Show that the Fourier series of f(x) can be written as: OO sin(2mx) sin (2m + 1)x + 6 m 2m + 1 m=1 m=0 - c) Determine the sum of the Fourier series when x = 1/2 og x =1. d) Use the Fourier series to show that: (-1)m M 2m + 1 m=0