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Math Help - limsup calculation

  1. #1
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    limsup calculation

    How do I solve the following limit?
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  2. #2
    Super Member Deadstar's Avatar
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    Quote Originally Posted by GIPC View Post
    How do I solve the following limit?
    The \frac{n}{3} - \big{[}{\frac{n}{3}}\big{]} part only takes three values. 0, \frac{1}{3} and \frac{2}{3}. If you want to prove this set n to be equal to 3k, 3k+1 and 3k+2 where k is a non negative integer and see what this gives you.

    Then just find which is larger. \sin(0), \sin(\tfrac{\pi}{3}) or \sin(\tfrac{2\pi}{3}).
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