Taylor Series Expansion About the Point i

[phyzmatix]

Taylor Series Expansion About the Point "i"

Homework Statement

Calculate the radius of convergence of the Taylor series for

$$\frac{1}{z^2-2z+2}$$

about the point i.

The Attempt at a Solution

I can find the radius of convergence if I can determine the expansion but I can't seem to spot the pattern...

Any help will be appreciated (please see attached).

 

[lanedance]

how about consdering where the poles of the function are...

 

[phyzmatix]

We haven't actually covered that yet, but I'll have a look thanks!