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Homework Help: This is a asymptotic problem

  1. Apr 18, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the complete asymptotic expansion of the function [tex]\sqrt{1+x^{6}}[/tex] - x[tex]^{3}[/tex]lnx as x[tex]\rightarrow[/tex][tex]\infty[/tex] and x[tex]\rightarrow[/tex]0.
    In each case give the asymptotic sequence in decreasing orders of magnitude.

    2. Relevant equations
    I tried the Taylor Expansion about 0. But I don't know how to give in decreasing orders of magnitude.


    3. The attempt at a solution
     
  2. jcsd
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