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Math Help - convegence question..

  1. #1
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    convegence question..

    lim sup(1/An)= 1/(lim inf An)

    lim sup is a biggest limit of amongst all sub sequences.
    lim inf is the smallest limit amongst all sub sequences.


    so these concepts could vary
    how to link them like this??
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by transgalactic View Post
    lim sup(1/An)= 1/(lim inf An)

    lim sup is a biggest limit of amongst all sub sequences.
    lim inf is the smallest limit amongst all sub sequences.


    so these concepts could vary
    how to link them like this??
    hint: as An gets smaller (so it makes sense to talk about liminf's here), 1/An gets larger (so it makes sense to talk about limsups here)
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  3. #3
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    its logical that it needs to be like that
    but how to say that in math?
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