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Math Help - Convergent sequences, limits proof

  1. #1
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    Convergent sequences, limits proof

    Hey all some help with the following proof would be appreciated:

    Let L = limit from k to infinity of x-sub-k

    If x-sub-k from k=0 to infinity is decreasing, then x-sub-k >= L for all k >= 0

    Thanks a bunch!
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    If x_{k_0}<L for some k_0 , choose

    \epsilon=(L-x_{k_0})/2

    and you'll get a contradiction.
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