91Ó°ÊÓ

Finding a Limit In Exercises \(5-22,\) find the limit. $$ \lim _{x \rightarrow 0}(3 x-2)^{4} $$

In Exercises 15–22, use the graph to find the limit (if it exists). If the limit does not exist, explain why. $$ \begin{array}{ll}{\lim _{x \rightarrow 2} f(x)} & {} \\\ {f(x)=\left\\{\begin{array}{ll}{4-x,} & {x \neq 2} \\ {0,} & {x=2}\end{array}\right.}\end{array} $$

Finding a Limit In Exercises \(5-22,\) find the limit. $$ \lim _{x \rightarrow 2} \frac{1}{x} $$

Finding a Limit In Exercises \(7-26\) , find the limit (if it exists). If it does not exist, explain why. $$ \lim _{x \rightarrow 3^{-}} f(x), \text { where } f(x)=\left\\{\begin{array}{ll}{\frac{x+2}{2},} & {x \leq 3} \\ {\frac{12-2 x}{3},} & {x>3}\end{array}\right. $$

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ g(t)=\frac{t-1}{t^{2}+1} $$

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ h(s)=\frac{3 s+4}{s^{2}-16} $$

Finding a Limit In Exercises \(7-26\) , find the limit (if it exists). If it does not exist, explain why. $$ \lim _{x \rightarrow 3} f(x), \text { where } f(x)=\left\\{\begin{array}{ll}{x^{2}-4 x+6,} & {x<3} \\ {-x^{2}+4 x-2,} & {x \geq 3}\end{array}\right. $$

Finding a Limit In Exercises \(5-22,\) find the limit. $$ \lim _{x \rightarrow-5} \frac{5}{x+3} $$

In Exercises 15–22, use the graph to find the limit (if it exists). If the limit does not exist, explain why. $$ \begin{array}{ll}{\lim _{x \rightarrow 1} f(x)} & {} \\\ {f(x)=\left\\{\begin{array}{ll}{x^{2}+3,} & {x \neq 1} \\ {2,} & {x=1}\end{array}\right.}\end{array} $$

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ f(x)=\frac{3}{x^{2}+x-2} $$