\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} a) Compute ${\int_1^2 {{dx} \over {x^2}}}$.

\medskip

\noindent b) Compute ${\int_1^2 {{dx} \over {x(x-m)}}}$ if $m$
is a small positive number. What happens when $m \to 0^+$?

\medskip

\noindent c) Compute ${\int_1^2 {1 \over {x^2 + n}} \, dx}$ if $n$ is
a small positive number. What happens when $n \to 0^+$?

\medskip

\noindent d) Sketch a graph of ${1 \over {x^2}}$, ${1\over {x(x-m)}}$,
and ${1\over {x^2 + n}}$ if $m$ and $n$ are both $.1$ for $x$ between
1 and 2.
  
\vfil\eject\end

