Determine the multiplicity for the root z = 1 for

How exactly?

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- November 22nd 2011, 11:43 AMSweatingBearDetermine multiplicity
Determine the multiplicity for the root z = 1 for

How exactly? - November 22nd 2011, 12:11 PMgirdavRe: Determine multiplicity
Put . Then has multiplicity : write where h is analytic and . How can you conclude?

- November 22nd 2011, 12:25 PMSweatingBearRe: Determine multiplicity
- November 22nd 2011, 12:30 PMgirdavRe: Determine multiplicity
Well, since , we can write , and since we have the order. Hence the power 30 wasn't the main problem, you can try to do the exercise with with a positive integer.