Taylor Series Expansion About the Point i

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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).
 

Attachments

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


We haven't actually covered that yet, but I'll have a look thanks!
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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