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\centerline{\bf Math.~125 Quizz \#2}
\centerline{September 8, 1998}
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\noindent

Evaluate the following limit.
$$\lim_{r\to 3^-}{{r^2+2r-14}\over{r^2-2r-3}}$$

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Suppose $\displaystyle\lim_{x\to 1}f(x)=3$ and
$\displaystyle\lim_{x\to 1}g(x)=-2$.
Evaluate each of the following expressions.
Possible answers are
\itemitem{1)} A number.
\itemitem{2)} $\pm\infty$,
\itemitem{3)} Does not exist.
\itemitem{4)} The answer can not be determined from the
given data.
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\noindent
a) $\displaystyle\lim_{x\to 1^+}3\cdot f(x)-5\cdot g(x)=$

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b) $\displaystyle\lim_{x\to 1^-}f(x)\cdot g(x)=$

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c) $\displaystyle\lim_{x\to 1}{{f(x)}\over{g(x)}}=$

\noindent
d) $\displaystyle\lim_{x\to 1}{{2\cdot f(x)+3\cdot g(x)}\over
{6+f(x)\cdot g(x)}}=$

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Where is the function
$${{\sqrt{4-x^2}}\over{x^2-9}}$$
continuous?


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