Jamin2112
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Homework Statement
Homework Equations
If |z|>1, the series ∑z-n converges to 1/(z-1)
If |z|<1, the series ∑zn converges to 1/(1-z)
The Attempt at a Solution
? Am I getting there?
Can you make sure I'm doing this right?
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If |z|>1, the series ∑z-n converges to 1/(z-1)
If |z|<1, the series ∑zn converges to 1/(1-z)
? Am I getting there?
spamiam
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Jamin2112 said:
I don't think that equation is right... Shouldn't it be for |z|>1,
[tex]\sum_{n=0}^\infty \frac{1}{z^n} = \frac{1}{1-\frac{1}{z}} = \frac{z}{z-1} \; \; ?[/tex]
Or am I missing something?