b) If
where
and
are
polynomials such that the degree of
is at least two less than that of,
prove that
where the simple closed
curve
C encloses all the poles of f(z).
2. If
is analytic in
and has a zero of order m at
,
then show that
.
3. If
is analytic in
and has a pole of order k at
,
then show that
large,
show that
where
and
are
polynomials such that the 
where the simple closed
is analytic in
and has a zero of order m at
,
then show that
and has a pole of order k at
