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

2015-10-12 2:06 pm

回答 (2)

2015-10-12 3:10 pm
✔ 最佳答案
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.
2015-10-12 2:11 pm
|z-3| < 1
2 < z < 4
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Ideas: Use ratio comparison as n-->oo.


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