\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Compute
$$
\lim_{x\to 0}{{(\sin 3x - 3x)^2}\over{(e^{2x}-1-2x)^3}}.
$$

\noindent Use Maclaurin series (Taylor series centered at $0$) that
you know, instead of L'H\^opital's Rule. How many times would you have
had to apply L'H\^opital's Rule if you used it? (Don't try it! Look at
the Maclaurin series to tell.)

\vfil\eject\end