Power series when variable is very large

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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
 

Answers and Replies

  • #2
NascentOxygen
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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.
 
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