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Math Help - Limit points

  1. #1
    zeh
    zeh is offline
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    Limit points

    Sequence: \frac{1}{2},\frac{1}{4},\frac{1}{2},\frac{3}{4},\f  rac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},\fra  c{5}{8},\frac{3}{4},\frac{7}{8},.......
    Find all limit points
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by zeh View Post
    Sequence: \frac{1}{2},\frac{1}{4},\frac{1}{2},\frac{3}{4},{\  color{blue}\frac{1}{8},\frac{1}{4},\frac{3}{8},\fr  ac{1}{2},\frac{5}{8},\frac{3}{4},\frac{7}{8}},....  ...
    Find all limit points
    We can't really find out the limit points if we don't know how to define the sequence. The blue sequence above diverges; it's just an arithmetic sequence: a_n=a_{n-1}+\frac{1}{8}.

    I think we would need more information before we could say definitively what this sequence is doing.
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