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Asymptotic Expansion of \sqrt{1+x^{6}} - x^{3}lnx
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[QUOTE="hancock.yang@, post: 2677913, member: 216189"] [h2]Homework Statement [/h2] 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. [h2]Homework Equations[/h2] I tried the Taylor Expansion about 0. But I don't know how to give in decreasing orders of magnitude. [h2]The Attempt at a Solution[/h2] [/QUOTE]
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Asymptotic Expansion of \sqrt{1+x^{6}} - x^{3}lnx
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