Asymptotic expansions

  • Thread starter haywood
  • Start date
  • #1
5
0
Can anyone tell me how to find a two-term asymptotic expansion for the two real roots of xe-x=epsilon as epsilon --> 0

Thanks,
A.Haywood
 

Answers and Replies

  • #2
25
0
dear Haywood
I don't know what kind of asypmtotic expasion you are looking for, so a short hint on how to solve the equation approximatly must suffice.
For the root near 0 substitute the left hand side with a taylor polynomial.
For the other root take logarithms on both sides.
 
  • #3
5
0
That works!!! I was especially looking for how to find that second root, so grateful that you mentioned using ln :-)
Thank you, Dalle!
 

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