1. ## complex series

Hi,
I need to find the region where the following complex series converges:

I computed the absolute value of the function and used the nth root test/Is it correct?
if not,how can i find the region?

2. ## Re: complex series

Originally Posted by hedi
Hi,
I need to find the region where the following complex series converges:
Can you make the image readable?

3. ## Re: complex series

It is the series of (1/n^2)*exp(nz/(z-2))

4. ## Re: complex series

Originally Posted by hedi
Hi,
I need to find the region where the following complex series converges:

I computed the absolute value of the function and used the nth root test/Is it correct?
if not,how can i find the region?
yes, it is correct to use the $n$-th root test
$\left|e^{\frac{z}{z-2}}\right|<1$