91Ó°ÊÓ

Finding a Limit In Exercises \(7-26\) , find the limit (if it exists). If it does not exist, explain why. $$ \lim _{x \rightarrow \pi / 2} \sec x $$

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ h(x)=\frac{x^{2}-9}{x^{3}+3 x^{2}-x-3} $$

Finding a Limit In Exercises \(5-22,\) find the limit. $$ \lim _{x \rightarrow 3} \frac{\sqrt{x+6}}{x+2} $$

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ f(x)=\frac{x^{2}-2 x-15}{x^{3}-5 x^{2}+x-5} $$

Finding Limits In Exercises \(23-26,\) find the limits. $$ f(x)=5-x, g(x)=x^{3} $$ $$ \begin{array}{lll}{\text { (a) } \lim _{x \rightarrow 1} f(x)} & {\text { (b) } \lim _{x \rightarrow 4} g(x)} & {\text { (c) } \lim _{x \rightarrow 1} g(f(x))}\end{array} $$

Finding Limits In Exercises \(23-26,\) find the limits. $$ f(x)=x+7, g(x)=x^{2} $$ $$ \begin{array}{lll}{\text { (a) } \lim _{x \rightarrow-3} f(x)} & {\text { (b) } \lim _{x \rightarrow 4} g(x)} & {\text { (c) } \lim _{x \rightarrow-3} g(f(x))}\end{array} $$

Finding a Limit In Exercises \(7-26\) , find the limit (if it exists). If it does not exist, explain why. $$ \lim _{x \rightarrow 2^{+}}(2 x-\|x\|) $$

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

Finding Vertical Asymptotes In Exercises \(13-28\) , find the vertical asymptotes (if any) of the graph of the function. $$ f(x)=\csc \pi x $$

Finding Limits In Exercises \(23-26,\) find the limits. $$ f(x)=4-x^{2}, g(x)=\sqrt{x+1} $$ $$ \begin{array}{ll}{\text { (a) } \lim _{x \rightarrow 1} f(x)} & {\text { (b) } \lim _{x \rightarrow 3} g(x) \quad(\mathrm{c}) \lim _{x \rightarrow 1} g(f(x))}\end{array} $$