# Asymptotic expansion CHALLENGE

1. Sep 12, 2008

### haywood

Asymptotic expansion CHALLENGE!!

KUDOS TO ANYONE WHO GETS THIS!!

1. The problem statement, all variables and given/known data

For Perturbation Methods class we are supposed to find two-term asymptotic expansions for the two real roots of xe-x = $$\epsilon$$as $$\epsilon$$-->0+

2. Relevant equations
xe-x = $$\epsilon$$as $$\epsilon$$-->0+

x = $$\epsilon$$e-x

3. The attempt at a solution
Graph x = $$\epsilon$$e-x and y=x. Find the first root near 0; how do I find the second root and then the two-term asymptotic expansion for these two real roots??

Last edited: Sep 12, 2008