Results 1 to 2 of 2

Math Help - Asymptotic expansion

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    21

    Asymptotic expansion

    Could somebody help me to see how to evaluate an integral from 0 to infinity of

    (e^-t)*(1 + t/x)^-x as x goes to infinity

    I know the answer is 1/2 + 1/8x - 1/32x^2 etc etc

    Just not sure how to get to that point!

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Aug 2009
    Posts
    21
    Can anyone help with this? I've tried integrating by parts and expanding the bit in the brackets using binomial expansion but it hasn't really got me anywhere
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. asymptotic expansion
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: May 29th 2010, 08:48 PM
  2. find asymptotic expansion of this integral
    Posted in the Differential Geometry Forum
    Replies: 9
    Last Post: October 31st 2009, 06:55 AM
  3. Asymptotic Expansion of an integral
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 2nd 2009, 03:09 PM
  4. Question about matched asymptotic expansion
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: March 13th 2009, 07:39 PM
  5. help for asymptotic expansion
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 3rd 2007, 03:31 AM

Search Tags


/mathhelpforum @mathhelpforum