\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Find the limits for the following
indeterminate forms of the type ``$\infty - \infty$''.

\medskip

\noindent a) $\lim\limits_{x \to 0} {{1 \over {\sin x}}- {1 \over x}}\,$.

\medskip

\noindent b) $\lim\limits_{x \to 0} {{1 \over {x^2}} - {1 \over x}}\,$.

\medskip

\noindent c) $\lim\limits_{x \to 0} {{{1+x} \over x} - {{1-x}
\over x}}\,$.

\vfil\eject\end