\begin{frame} \frametitle{Limits at Infinity} \begin{center} \scalebox{.7}{ \begin{tikzpicture}[default,yscale=.8] \diagram{-7}{7}{-2}{2}{1} \diagramannotatez \diagramannotatexx{-pi/$-\pi$,pi/$\pi$} \diagramannotateyy{{-0.5*pi}/$-\frac{\pi}{2}$,{0.5*pi}/$\frac{\pi}{2}$} \draw[cgreen,ultra thick] plot[smooth,domain=-7:7,samples=50] function{atan(x)}; \draw[cred,dashed] (-7,-0.5*pi) -- (7,-0.5*pi); \draw[cred,dashed] (-7,0.5*pi) -- (7,0.5*pi); \end{tikzpicture} } The graph of $\tan^{-1}$. \end{center} \begin{exampleblock}{} Evaluate \begin{talign} \lim_{x\to 2+} \tan^{-1} \left(\frac{1}{x-2}\right) = \mpause[1]{\lim_{x\to \infty} \tan^{-1} x =} \mpause[2]{\frac{\pi}{2}} \end{talign} \pause\pause \end{exampleblock} \end{frame}