\input epsf
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\noindent {\bf Problem statement} Suppose $F(x)=\int_0^x
e^{(t^{\scriptscriptstyle 2})} dt$. 

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\noindent a) Compute
$\displaystyle \lim\limits_{x\to\infty}{{xF(x)}\over{e^{(x^{\scriptscriptstyle 2})}}}$.

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\bigskip

\noindent b) Compute
$\displaystyle\lim\limits_{x\to 0}{{F(x)}\over{xe^{(x^{\scriptscriptstyle 2})}}}$.

%1

\vfil\eject\end