01_05_ex_42.tex

{Numerically approximate the following limits:
\begin{enumerate}
\item	$\ds \lim_{x\to -4/5^+} \frac{x^2-8.2 x-7.2}{x^2+5.8 x+4}$
\item	$\ds \lim_{x\to -4/5^-} \frac{x^2-8.2 x-7.2}{x^2+5.8 x+4}$
\end{enumerate}
}
{\begin{tabular}{cc}
$x$ & $f(x)$ \\ \hline 
$-0.81 $& $-2.34129$ \\
$ -0.801$ & $-2.33413$ \\
$ -0.79 $& $-2.32542 $\\
$ -0.799$ & $-2.33254$
\end{tabular}

The top two lines give an approximation of the limit from the left: $-2.33$. The bottom two lines give an approximation from the right: $-2.33$ as well.
}