Q$1)[50$p$]$ Consider the following periodic function.

$-$a$)$ Determine the Fourier series coefficients, $x_n$ of $x(t)$ by using

$x_n=\frac{1}{T_0}{\displaystyle \underset{-\frac{T_0}{2}}{\overset{\frac{T_0}{2}}{}}}x(t)e^{-j2n{f}_{0}t}dt$

b$)$ Determine Fourier Series coefficients, $x_n$ of $x(t),$ by using the Fourier transform of periodic signals. Compare the result with the one you have obtained in part a$).$