Question $4$

$8$ Marks

$4\mathrm{.}1$ Given that $p(x)$ and $q(x)$ are defined by the graphs shown below, evaluate the following limits $($if they exist$)$

a$.,\underset{x2}{lim}(q(x)-3p(x))$

$(2$ Marks$)$

b$.,\underset{x-3}{lim}\sqrt[\phantom{2}]{\frac{q(x)}{p(x)}}$

$(3$ Marks$)$

c$.\underset{x1}{lim}p(q(x))$

$(3$ Marks$)$

End of Question $4$