Question $2$: Evaluate

$(12$ Marks$)$

A$)\underset{x3}{lim}(9+|x+3|)$

B$)\underset{x-4}{lim}\frac{x^2-16}{x+4}$

C$)\underset{x0}{lim}\frac{sin(x)}{sin(2x)}$

D$)\underset{x2}{lim}\frac{\sqrt[\phantom{2}]{x+2}-2}{x-2}$

E$)\underset{x}{lim}\frac{5x^2-2x+1}{2x^3+3}$

F$)\underset{x3}{lim}(\frac{|x-3|}{x-3})$