- #1

- 12

- 0

## 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.