How Do You Approach This Limit Problem?

aviravir1 · 2010-03-08T14:39:35+00:00

\lim_{n\to infinity}{{(\sqrt{n^{2}+n+1}})-[{(\sqrt{n^{2}+n+1}})]} wer [.] is GIF how will u solve this one

1 reply · 2K views · last reply Mar 8, 2010

aviravir1

[tex]\lim_{n\to infinity}{{(\sqrt{n^{2}+n+1}})-[{(\sqrt{n^{2}+n+1}})]}[/tex] wer [.] is GIF
how will u solve this one

Discussion

HallsofIvy

Science Advisor

Homework Helper

For very large n, [itex]n^2[/itex] 'dominates' lower powers so that is asymptotic to [itex]n- [n][/itex]. And that has no limit.