- #1

- 53

- 0

## 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

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter seboastien
- Start date

- #1

- 53

- 0

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

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

not sure where to go from here

- #2

NascentOxygen

Staff Emeritus

Science Advisor

- 9,244

- 1,073

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" [Broken] would be a good start. Just check that your conditions satisfy the inequality so the series will be sure to converge.

Last edited by a moderator:

Share: