$(6)\underset{x0}{lim}\frac{(2+x{)}^3-8}{x}$

$(7)\underset{x25}{lim}\frac{5-\sqrt[\phantom{2}]{x}}{x-25}$

$(8)\underset{x-2}{lim}\frac{3-\sqrt[\phantom{2}]{1-4x}}{2x+4}$

$(9)\underset{x-1}{lim}\frac{\frac{1}{4+3x}+\frac{1}{x}}{x+1}$

$(10)$ If $g(x)=\{\begin{array}{cc}{x}^2-x^3,& x<mn>2</mn>\\ 5x-14,& x2\end{array}$

Find $\underset{x2}{lim}g(x)$

$(11)\underset{x{2}^{-}}{lim}\frac{2-x}{|x-2|}$

$(12)\underset{x{4}^{+}}{lim}\frac{|x-4|}{x^2-16}$

$(33)\underset{x0}{lim}{x}^{4}sin(\frac{}{x})$