\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Graph the functions
$\displaystyle{f(x)={{4x} \over {x^2+1\vphantom{J_{J_J}}}}}$ and
$g(x)=2\sin\left(2\arctan x\right)$ in the same viewing window over
the interval $-5\le x\le 5$. Explain what you see.
 
\vfil\eject\end