This is a asymptotic problem

  • #1

Homework Statement


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.

Homework Equations


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


The Attempt at a Solution

 

Answers and Replies

Related Threads on This is a asymptotic problem

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
735
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
0
Views
893
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
2
Views
971
  • Last Post
Replies
1
Views
831
  • Last Post
Replies
1
Views
857
  • Last Post
Replies
9
Views
5K
  • Last Post
Replies
6
Views
787
Top