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Math Help - Analysis. Sequences.

  1. #1
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    Analysis. Sequences.

    4. Please give an example of each of the following:

    (a) An infinite set C such that sup C = 0 and inf C = 1.
    (b) An infinite set C such that max C = 0 and min C = 1.
    (c) An infinite set C such that max C = 0, inf C = 1 but which doesn’t have a minimum.
    (d) An infinite set C such that sup C = 0, min C = 1 but which doesn’t have a maximum.
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  2. #2
    Super Member Deadstar's Avatar
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    Do you mean sequence or set?

    For sets it could be just...

    The set of rational (or irrational, or real...) numbers contained in [-1,0]. This has a max and min and hence sup and inf.

    If you want one without a max or min just change the brackets to...
    (-1,0) which has a sup and inf but no max or min.
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  3. #3
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    Thank you! Yeah set will do =) Thanks a lot =)
    Maybe you could help with the other stuff i have here? Please?
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  4. #4
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    Do you have any clue what "sup" and "inf" mean? These questions are almost trivial if you do.
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  5. #5
    MHF Contributor

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    Do you have any clue what "sup" and "inf" mean? Do you know the difference between "sup" and "maximum" or between "inf" and "minimum"? These questions are almost trivial if you do.
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  6. #6
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    I do. Thanks, I have it done ^^
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