Determine the regions of convergence and divergence of the following power series?

The ratio test:
|T(n+1)/T(n)|=
|z-3|[(n+1)/n]^2->
|z-3|
the region for convergence is
(x-3)^2+y^2<1, where z=x+iy;
for divergence is
(x-3)^2+y^2>=1.

|z-3| < 1
2 < z < 4
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Ideas: Use ratio comparison as n-->oo.