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Math Help - Unbounded?

  1. #1
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    Unbounded?

    a) Prove that {n/1000} is an unbounded sequence. (I can tell obviously that it is unbounded because as n gets higher the whole sequence gets higher. But not sure how to formally prove this)

    b) Is {n^2[[1000/n]]} an unbounded sequence? Explain.
    (This is also unbounded right? Isnt this similar to the first one? If you distribute the n^2 in you get 1000n^2/n and then could just cancel an n from top and bottom and get 1000n as the sequence?)
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  2. #2
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    You can justify your results using the Archimedean property
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