1. Exercise 1 (```sinesum.py```) Approximating a function by a sum of sines (view image for better formatting) *Idea:* Any function can be approximated arbitrarily well by a sum of sines. (This is known as a Fourier series expansion of the original function.) Consider the following piecewise function defined in the interval $t\in[-T/2,T/2]$: $$f(t) = \begin{cases} 1, & 0

2. Exercise 1 (sinesum.py) Approximating a function by a sum of sines Idea: Any function can be approximated arbitrarily well by a sum of sines. (This is known as a Fourier series expansion of the original function.) Consider the following piecewise function defined in the interval t e l-T/2,/2 1 0