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Homework Help: Asymptotic expansion

  1. Oct 26, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the first two terms in an asymptotic expansion of the following as x goes to zero from the right (i.e. takes on smaller and smaller positive values).


    2. Relevant equations

    3. The attempt at a solution
    I'm not exactly sure how to proceed with this. I'm assuming I should expand the integrand as a Taylor series:


    I'm kinda stuck here, though.
  2. jcsd
  3. Oct 26, 2012 #2


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    Homework Helper

    Notice you start having problems as t goes to zero... you should re-write your integral with a limit and then I think it would be best to actually expand the terms of your sum this time.
  4. Oct 26, 2012 #3

    Like this? Hmm...
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