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

Printable View

- February 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 - February 15th 2009, 05:42 AMandreas