$(4$ pts$)($Pad$$ approximation to a time delay$)$ Consider the transfer functions

$G_1(s)=e^{-s},G_2(s)=\frac{1-s\frac{}{2}}{1+s\frac{}{2}},$

where $$ is a given constant. Show that magnitude and phase of $G_1(j)$ and $G_2(j)$ are similar for small frequencies $\frac{1}{}.($Hint: use $tan$~~$$ for $$ small.$)$

Note: The approximation $G_2$ to $G_1(4)$ is called a first$-$order Pad$$ approximation.