What is the limit and n tends to infintity of

z+z^2+z^3+...+z^n

note z belongs to the complex plane and is defined on the disc with centre 0 and radius 1.

I think it should be 1/(1-z) but I cant see why.

Thanks

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- Feb 15th 2009, 03:35 AMsyster[SOLVED] Complex Analysis: Limits!!!
What is the limit and n tends to infintity of

z+z^2+z^3+...+z^n

note z belongs to the complex plane and is defined on the disc with centre 0 and radius 1.

I think it should be 1/(1-z) but I cant see why.

Thanks - Feb 15th 2009, 05:42 AMandreas