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Thread: inf (s) and sup (S) belong to the closure of S

  1. October 3rd 2011, 10:02 PM #1
    aldrincabrera
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    inf (s) and sup (S) belong to the closure of S

    ,.good day,.,.ammm,.,.i need ur help to show this problem,.

    If S is any bounded set of real numbers, show that the numbers inf (s) and sup (S) belong to the closure of S.

    thnx,.,
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  2. October 4th 2011, 03:54 AM #2
    Plato
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    Re: inf (s) and sup (S) belong to the closure of S

    Quote Originally Posted by aldrincabrera View Post
    If S is any bounded set of real numbers, show that the numbers inf (s) and sup (S) belong to the closure of S.
    This follows at once if one notes that \inf(S) is either a point or a limit point of S .
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