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Help with liminf and limsup

  1. Oct 31, 2007 #1
    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 [Broken]

    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.
    I just need help where it says: Find sequences for which all of these inequalities are simultaneously strict. I can't find an example.
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Oct 31, 2007 #2
    Under what conditions does limsup = liminf?
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