Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help on lim sup and lim inf

  1. Sep 16, 2012 #1
    Hi everyone,
    I'm currently having problems with these concept, my textbook states that:
    Let S be the set of all subsequential limits of s_n, then
    sup S= limsup s_n
    inf S= liminf s_n
    Knowing that S is also the set of all limits point of s_n, however I'm wondering how I could determine this set.
    Ex: For s_n=[itex]\frac{1}{n}[/itex], I can easily check that 0 is its limit point but I don't know how to find it.:frown:
     
  2. jcsd
  3. Sep 16, 2012 #2
    You say "easily check", and "I don't know how to find it". It's not clear to me where you are stuck. Are you wondering how to show S={0}? If so, how about showing each is a subset of the other?

    Please let us know if your question lies somewhere else.
     
  4. Sep 16, 2012 #3
    Never mind, I grasped the idea at last :biggrin: , but thanks aw.
     
    Last edited: Sep 17, 2012
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Help on lim sup and lim inf
  1. Sup of a sequence (Replies: 8)

Loading...