Fourier series calculating n, an and bn as well as plotting it?

Hi all,

I need to compare the fourier series of given function and then plot and compare it to its orignal function

It is a piecewise function:

f(x) = 2 - (x/2)^2 if 0<= x <2

1 if -2<= x <0

the fourier series has a periodic function of 4