Fourier spikes. Write a program that takes a command-line argument n and plots the function

for 500 equally spaced samples of t from -10 to 10 (in radians). Run your program for n = 5 and n = 500. Note : You will observe that the sum converges to a spike (0 everywhere except a single value). This property is the basis for a proof that any smooth function can be expressed as a sum of sinusoids.

(cos(t) + cos(2t) + cos(3 t)+ ... + cos(nt)) / n