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Math Help - sup properties

  1. #1
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    sup properties

    Let S be a bounded non-empty subset of \mathbb{R}, and \bar m = sup  S.

    Prove there is a sequence {a_{n}} such that a_{n} \in  S for all n,

    and a_{n} \rightarrow \bar m
    Last edited by cgiulz; September 26th 2009 at 10:42 AM.
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