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Limit of the greatest integer number

  1. Jan 27, 2012 #1
    Hi there,

    It is clear that

    [itex]\lim_{n\to\infty }\frac{1}{n}\left[\frac{n}{3}\right]=\frac{1}{3}[/itex].
    But the problem that I could not get a formal proof!

    Thank you.
     
  2. jcsd
  3. Jan 27, 2012 #2
    Try the squeeze theorem.
     
  4. Jan 27, 2012 #3
    Yes, Thank you.
     
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