\begin{frame} \frametitle{Limit Laws: Examples} \begin{exampleblock}{} \begin{malign} & \lim_{x \to -2} \frac{x^3 + 2x^2 -1}{5-3x} \\ &\mpause[1]{ = \frac{\lim_{x \to -2} (x^3 + 2x^2 -1)}{\lim_{x \to -2}(5-3x)} } &&\mpause[1]{ \text{(law 5)}}\\ &\mpause[2]{ = \frac{\lim_{x \to -2} x^3 + 2 \lim_{x \to -2} x^2 - \lim_{x \to -2} 1}{\lim_{x \to -2} 5 - 3 \lim_{x \to -2} x} } &&\mpause[2]{ \text{(law 1, 2, 3)}}\\ &\mpause[3]{ = \frac{(-2)^3 + 2 \cdot (-2)^2 - 1}{5 - 3 \cdot (-2)} } &&\mpause[3]{ \text{(law 7, 8)}}\\ &\mpause[4]{ = -\frac{1}{11}} \end{malign} \end{exampleblock} \end{frame}