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Math Help - Bolzano-Weierstrass Theorem

  1. #16
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by particlejohn View Post
    can you give me an example of where one's intersection is empty and another intersection is not?
    let I = \left\{\frac{1}{n}\right\}
    take L=1 as its bound.
    so, I \subseteq [-1,1]=[-1,0] \cup [0,1]....
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  2. #17
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    Re: Bolzano-Weierstrass Theorem

    You can see an example of Bolzano's theorem on:

    The prodigious memory of Van Bommel. Bolzano's theorem.
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