Results 1 to 2 of 2

Thread: lim sup and lim inf

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    10

    lim sup and lim inf

    Let ($\displaystyle s_n$) be a bounded sequence and let $\displaystyle L =lim sups_n$. Then for every $\displaystyle \epsilon> 0$ , we have $\displaystyle L-\epsilon$ $\displaystyle <s_n$$\displaystyle \le$ $\displaystyle L+\epsilon$ for infinitely many $\displaystyle n$

    What would be the lim inf version of this theorem and how would you go about proving it?

    Much Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,742
    Thanks
    2814
    Awards
    1
    Quote Originally Posted by studentmath92 View Post
    What would be the lim inf version of this theorem?
    Why don't you make a guess at that statment?
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum