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Math Help - lim sup and lim inf

  1. #1
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    lim sup and lim inf

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

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

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  2. #2
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    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?
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