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\markright{Chapter 2: Worksheet 4}
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\Bf{Chapter 2: Worksheet 4  \hfill Jack K. Cohen \hfill Colorado School of Mines}

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\Cb{One-sided Limits; Shooting Star Returns}
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\noindent \Bf{Suggested Problems}
Section 2.2: 14, 24, 38;
Section 2.3: 4, 6
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\begin{enumerate}

\item (2.3.16) Evaluate $\lim_{x \rightarrow 7^-}$ {\Large $\frac{7 - x}{|x - 7|}$} by at least two methods.

\item (2.3.20) Evaluate $\lim_{x \rightarrow -4^-}$ {\Large $\frac{4 + x}{\sqrt{(4 + x)^2}}$} by at least two methods.

\item (2.3.26) Find the point $a$ where the right-hand and the left-hand limits of $f(x)$ both fail to exist.  Describe (as in Example 5) the behavior of $f(x)$ for $x$ near $a$.  Here $f(x)$ is {\Large $\frac{1}{(x - 5)^2}$}.

\end{enumerate}
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