Q I: $[10-$Marks$]$

a$)$ Choose the correct answer $(3$ mark$)$:

$($i$)$ DNE, $12)$

$($ii$)\underset{x0}{lim}\frac{2x^{2}2x-3}{12x-3x^3}=(0,3,-3,)$

$($iii$)\frac{d}{dx}Ln{e}^x=(1,e^x,\frac{1}{e^x},\frac{1}{x})$

b$)$ Look to the graph of $f(x)$ and answer by true or false of the following $(2$ marks$)$:

$($a$)($