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Interesting LImit to solve

  1. Mar 8, 2010 #1
    [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
     
  2. jcsd
  3. Mar 8, 2010 #2

    HallsofIvy

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    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.
     
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