\documentclass[12pt]{article}
\newcommand{\ds}{\displaystyle}
\parindent=0pt
\begin{document}
{\bf Question}
\begin{itemize}
\item[i)]
Let $\ds h(z)=\frac{1}{(z-2)(z+3)}$.
Find the Laurent series expansion of $f(z)$ in powers of $z$,
valid in the annulus $2<|z|<3$ and obtain the coefficient of $z^n$
explicitly for $n=-2,-1,0,1,2.$
\item[ii)]
Let $f(z)$ and $g(z)$ be analytic functions in a neighbourhood of
$z=a$. Let $f(z)$ have a zero of order $k$ at $z=a$ and $g(z)$
have a zero of order $l$ at $z=a$. If $k>l$ show that
$F(z)=\frac{f(z)}{g(z)} \hspace{0.2in} (z\not=a)$ has a removable
singularity at $z=a$ and that if we extend its definition to $z=a$
by defining $F(a)=0$ then $F$ has a zero of order $k-l$ at $z=a$.
Describe the nature of $F(z)$ near $z=a$ if $kl$, $F(z)\to0$ as $z\to a$, a removable singularity.
If $k