1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Asymptotic expansions

  1. Sep 16, 2008 #1
    Can anyone tell me how to find a two-term asymptotic expansion for the two real roots of xe-x=epsilon as epsilon --> 0

  2. jcsd
  3. Sep 17, 2008 #2
    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.
  4. Sep 21, 2008 #3
    That works!!! I was especially looking for how to find that second root, so grateful that you mentioned using ln :-)
    Thank you, Dalle!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook