Limit of the greatest integer number

  • Thread starter LikeMath
  • Start date
  • #1
62
0
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.
 

Answers and Replies

  • #2
22,089
3,297
Try the squeeze theorem.
 
  • #3
62
0
Yes, Thank you.
 

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