\begin{frame} \frametitle{L'Hospital's Rule} \begin{exampleblock}{} Evaluate the limit \begin{talign} \lim_{x\to 0^+} x^x \end{talign} \pause Then \quad $\lim_{x\to 0^+} x = 0$. \pause\medskip We write the limit as: \begin{talign} \lim_{x\to 0^+} x^x &\mpause[1]{ = \lim_{x\to 0^+} e^{\ln x^x} } \\ &\mpause[2]{ = e^{\lim_{x\to 0^+} \left( x \ln x \right) } } \\ &\mpause[3]{ = e^0 } \\ &\mpause[4]{ = 1 } \end{talign} \end{exampleblock} \end{frame}