\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} For each of the four cases below,
sketch a graph of a function that satisfies the stated conditions. In
each case, the {\it domain}\/ of the function should be {\it all real
numbers}.

\medskip

\noindent a) $\lim\limits_{x \to 2} {f(x)} = 3$ and $f(2) =4\,$.

\medskip

\noindent b) $\lim\limits_{ x \to 0} {f(x)}$ does not exist, and $
\vert f(x) \vert < 2$ for all $x\,$.

\medskip

\noindent c) $\lim\limits_{x \to 1} {f(x)}$ exists and its value is
$f(1) + 2\,$.  

\medskip

\noindent d) $\lim\limits_{x\to -1^{-}} {f(x)}$ and $\lim\limits_{x\to
-1^{+}} {f(x)}$ do not exist, $|f(x)|<3$ for all $x$, and
$f(-1)=-2\,$.

\vfil\eject\end

