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Math Help - quick help with liminf and limsup

  1. #1
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    quick help with liminf and limsup

    This isn't a copy of my assignment, but I found the exact same question on the web:

    http://www.math.auckland.ac.nz/~waldron/730/1.pdf

    It's question 1 on the PDF. I've been trying all night to find inequalties that are strict like it asks for in that particular problem. I don't need help with proving the inequalities, just an example of two sequences (xn) and (yn) that satisfy them to make them strict simultaneously.

    I would super appreciate any ideas on this.
    MK
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  2. #2
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    1. Look at my other post about limsup's the idea it the same.

    2. Look at the other thread and how it is proved that \limsup (x_n+y_n) = \limsup (x_n) + L.
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  3. #3
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    Yeah I don't need that. I just need help with the end, where it says:

    Find sequences for which all of these inequalities are simultaneously strict.
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  4. #4
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    Any ideas? I'm completely stumped. I've tried so many different examples, but none work.
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