Code the following problem in python:

A Fourier series represents any periodic function (or any non-periodic function over a certain region of interest) with an infinite sum of sines and/or cosines (or, equivalently, with an infinite sum of complex exponentials). We'll skip some of the mathematical details and consider the result for a square pulse: The Fourier series for this pulse is: f (x) = A, cos(kx) I 0 where: k,-2m 4-m-sin( n) and In practice we consider a truncated Fourier series where we stop after N terms: f (x)-, cos(k,x) Consider a-0.75 and -1. Plot f(x for N 2, 10, and 100 on the horizontal range [-2,2]. Show all three curves on the same plot, and include a legend to indicate which is which