\begin{frame} \frametitle{2nd Midterm Exam - Review} \begin{exampleblock}{} Evaluate the limit \begin{align*} \lim_{x\to \infty} (x\cdot \sin(\frac{1}{x})) \end{align*} We have \begin{align*} \lim_{x\to \infty} (x\cdot \sin(\frac{1}{x})) \stackrel{\mpause[1]{\text{take $h=\frac{1}{x}$}}}{=} \mpause[1]{\lim_{h\to 0} (\frac{1}{h}\cdot \sin(h))} \mpause[2]{= 1} \end{align*} \end{exampleblock} \end{frame}