$\underset{x2}{lim}x(x-1)(x1)$

$\underset{x3}{lim}{x}^3-3x^{2}9x$

$\underset{x3}{lim}\frac{x^2-2x}{x1}$

$\underset{x0}{lim}\frac{6x-9}{x^3-12x3}$

$\underset{x{1}^{}}{lim}\frac{x^4-1}{x-1}$

$\underset{t-2}{lim}\frac{t^{3}8}{t2}$

$\underset{x-1}{lim}\frac{x^{2}6x5}{x^2-3x-4}$

$\underset{x2}{lim}\frac{x^2-4x4}{x^{2}x-6}$

$\underset{x-1}{lim}\frac{2x^{2}x-1}{x1}$

$\underset{x1}{lim}\frac{3x^2-x-2}{2x^{2}x-3}$

$\underset{t2}{lim}\frac{t^{3}3t^2-12t4}{t^3-4t}$

$\underset{t1}{lim}\frac{t^3{t}^2-5t3}{t^3-3t2}$

$\underset{x{3}^{}}{lim}\frac{x}{x-3}$

$\underset{x{3}^{-}}{lim}\frac{x}{x-3}$

$\underset{x3}{lim}\frac{x}{x-3}$

$\underset{x{2}^{}}{lim}\frac{x}{x^2-4}$

$\underset{x{2}^{-}}{lim}\frac{x}{x^2-4}$

$\underset{x2}{lim}\frac{x}{x^2-4}$

$\underset{y{6}^{}}{lim}\frac{y6}{y^2-36}$

$\underset{y{6}^{-}}{lim}\frac{y6}{y^2-36}$

$\underset{y6}{lim}\frac{y6}{y^2-36}$

$\underset{x{4}^{}}{lim}\frac{3-x}{x^2-2x-8}$

$\underset{x{4}^{-}}{lim}\frac{3-x}{x^2-2x-8}$

$\underset{x4}{lim}\frac{3-x}{x^2-2x-8}$

$\underset{x{2}^{}}{lim}\frac{1}{|2-x|}$

$\underset{x{3}^{-}}{lim}\frac{1}{|x-3|}$

$\underset{x9}{lim}\frac{x-9}{\sqrt[\phantom{2}]{x}-3}$

$\underset{y4}{lim}\frac{4-y}{2-\sqrt[\phantom{2}]{y}}$

Let

$f(x)=\{\begin{array}{cc}x-1,& x3\\ 3x-7,& x>3\end{array}$

$($cont$.)$

Do Number $7,8,9,12,13,14,17,30,$ Find the limit$,$ make sure factoring