Problem $4$

For the following circuit $($f$)$: $Z1=10-5j$ and $Z2=5+25{}^{2}j,$ solve the following:

$($a$)$ Solve for the Transfer Function in standard form, $T(s)=\frac{\text{V}\text{o}\text{u}\text{t}}{\text{V}\text{i}\text{n}}=Re[T(s)]+$jIm$[T(s)]$

$($b$)$ Calculate the Magnitude of the Transfer function, $|T(s)|$

$($c$)$ Calculate the Phase of the Transfer function, $\frac{?}{{?}_T(s)}$

$($d$)$ Solve for $\underset{0}{lim}|T(s)|$

$($e$)$ Solve for $\underset{}{lim}|T(s)|$

$($f