Given the function $f(x)=\{\begin{array}{ccc}sin(x)& if& x0\\ x& if& 0=1\end{array}$ compute each of the following values $($or indicate if they do not exist$)$

$($a$)f(0)$

$($e$)f(1)$

$($b$)\underset{x-\frac{}{2}}{lim}f(x)$

$($f$)\underset{x{1}^{-}}{lim}f(x)$

$($c$)\underset{x{0}^{-}}{lim}f(x)$

$($g$)\underset{x{1}^{+}}{lim}f(x)$

$($d$)\underset{x0}{lim}f(x)$

$($h$)\underset{x1}{lim}f(x).$