# Infinite sum

1. Mar 29, 2010

### neom

$$\sum^k_{n=1}e^{-n\sum^k_{n=2}...e^{-n\sum^k_{n=k-1}e^{-n}}}$$

Can anyone help me find out if this converges and if so how to calculate the sum?
I don't have an idea on how to even start.

This is not homework

Last edited: Mar 30, 2010
2. Mar 31, 2010

Anyone?