As we have seen in the class, we can approximately reconstruct this function by replacing $$ in

the upper limit of the summation by some finite value $n_{\text{m}\text{a}\text{x}}$ :

hat$(f{)}_1(t)=10-\frac{20}{}{\displaystyle \underset{n=1}{\overset{n_{\text{m}\text{a}\text{x}}}{}}}\frac{1}{n}sin(\frac{nt}{2}).$

Use Matlab to draw some approximations of $f_1(t).$ Prepare four different plots for $n_{\text{m}\text{a}\text{x}}=1,$

$n_{\text{m}\text{a}\text{x}}=3,n_{\text{m}\text{a}\text{x}}=5$ and $n_{\text{m}\text{a}\text{x}}=11.$ Provide your code as a text that I can copy and paste in

Matlab environment.