Geom Series: Converge Radius 1, c Complex Num

[spacediablo]

how can I write f(z)= 1/(c(1+z)) as a geometric series with radius of convergence 1, where c is a complex number?

 

[mathwonk]

this is the one series most people know.

hint: 1/(1-z) = 1 + z + z^2 + z^3+...


if you learn this, you are a master of infinites eries. i.e. there is nothing else to know.

 

[spacediablo]

thanks i see it now