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Math Help - metric Space , series , open ball

  1. #1
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    metric Space , series , open ball

    Hello ,
    can someone tell me if this conditions are equivalent

    (i) there exists epsilon> 0 such that the open ball of radius epsilon around x is a singleton:
    Be (x) = (x)

    (ii) if a sequence (xn) of points of X approaches x, then (xn) is eventually
    constant.

    Any help is welcome

    thank you in advance
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  2. #2
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    please help

    i have the same question
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  3. #3
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    any help?

    thanks
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  4. #4
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    solved
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