Power series when variable is very large

[seboastien]

Homework Statement

Find first three non zero terms in series expansion for ln(1+e^-z) when z is very large

Homework Equations

The Attempt at a Solution

I've got as far as ln(1+e^(-1/z)*e^((1/z)(z^(2) - 1))

not sure where to go from here

 

[NascentOxygen]

Find first three non zero terms in series expansion for ln(1+e^-z) when z is very large

Maybe series (19) on this page http://mathworld.wolfram.com/SeriesExpansion.html" would be a good start. Just check that your conditions satisfy the inequality so the series will be sure to converge.