\begin{frame} \frametitle{More Limits Laws} \begin{block}{} \begin{enumerate} % \setcounter{enumi}{5} \item $\lim_{x\to a} \;[f(x) + g(x)] = \lim_{x\to a} f(x) + \lim_{x\to a} g(x)$ \item $\lim_{x\to a} \;[f(x) - g(x)] = \lim_{x\to a} f(x) - \lim_{x\to a} g(x)$ \item $\lim_{x\to a} \;[c \cdot f(x)] = c \cdot \lim_{x\to a} f(x)$ \item $\lim_{x\to a} \;[f(x) \cdot g(x)] = \lim_{x\to a} f(x) \cdot \lim_{x\to a} g(x)$ \item $\lim_{x\to a} \frac{f(x)}{g(x)} = \frac{\lim_{x\to a} f(x)}{\lim_{x\to a} g(x)}$ if $\lim_{x\to a} g(x) \ne 0$ \pause \item $\lim_{x\to a} \;[f(x)]^n = [\lim_{x\to a} f(x)]^n$ for $n$ a positive integer \pause \item $\lim_{x\to a} \;c = c$ \pause \item $\lim_{x\to a} \;x^n = a^n$ \pause \item $\lim_{x\to a} \;\sqrt[n]{x} = \sqrt[n]{a}$ for $n$ a positive integer\\ (if $n$ is even we require $a > 0$) \pause \item $\lim_{x\to a} \;\sqrt[n]{f(x)} = \sqrt[n]{\lim_{x\to a} f(x)}$ for $n$ a positive integer\\ (if $n$ is even we require $\lim_{x\to a} f(x) > 0$) \end{enumerate} \end{block} \end{frame}