Limits: Evaluate the following limits:

$($a$)\underset{x3}{lim}(x^2-9)$

$($b$)\underset{x}{lim}\frac{2x^3+5}{x^3-4}$

$($c$)\underset{x0}{lim}\frac{sin(9x)}{x}$

$($d$)\underset{x1}{lim}log(x)$

$($e$)\underset{x-}{lim}{e}^x$