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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{Quiz 3 -- September 29, 2017}
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\noindent
Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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\noindent
{\it Directions}
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Do all work on this sheet.  There are 30 possible points.
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\noindent
\begin{enumerate}
\item[1)]  
\begin{enumerate}
\item[(a)] (10) Evaluate the function $f(x) = \frac{x^2 - 9}{x + 3}$ at the indicated
$x$'s.
$$\begin{array}{ccccccccccccccr}
\hline
x &\vline& -3.5\quad &\vline& -3.1\quad &\vline& -3.01\quad &\vline& -2.99\quad &\vline& -2.9\quad &\vline& -2.5\quad \\ \hline
\displaystyle{\frac{x^2 - 9}{x+3}}&\vline&         &\vline&          &\vline&           &\vline&  
&\vline& &\vline&           \\ \hline 
\end{array}$$
\item[(b)] (5) Use those values to estimate $\displaystyle\lim_{x\to -3} \frac{x^2 - 9}{x+3}$.
\end{enumerate}
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\begin{figure}
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\includegraphics[width=3.0in]{FPlot.png}
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\caption{The Graph $y = f(x)$}
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\item[2)] By examining the graph determine the indicated values and answer the questions.
\begin{enumerate}
\item[(a)] (3) $\displaystyle\lim_{x\to -1^-} f(x) = \underline{\qquad\qquad\qquad}$ 
\item[(b)] (3) $\displaystyle\lim_{x\to -1^+} f(x) = \underline{\qquad\qquad\qquad}$
\item[(c)] (3) $\displaystyle\lim_{x\to 0^-} f(x) = \underline{\qquad\qquad\qquad}$
\item[(d)] (3) $\displaystyle\lim_{x\to 0^+} f(x) = \underline{\qquad\qquad\qquad}$
\item[(e)] (3) Does $\displaystyle\lim_{x\to 0} f(x)$ exist?  
$\underline{\qquad\qquad\qquad}$ (Yes/No)  Explain:
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\end{enumerate}
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