# Taylor Series Expansion About the Point i

1. Jun 23, 2010

### phyzmatix

Taylor Series Expansion About the Point "i"

1. The problem statement, all variables and given/known data

Calculate the radius of convergence of the Taylor series for

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

3. 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).

#### Attached Files:

• ###### TaylorSeries.pdf
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2. Jun 23, 2010

### lanedance

Re: Taylor Series Expansion About the Point "i"

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

3. Jun 23, 2010

### phyzmatix

Re: Taylor Series Expansion About the Point "i"

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