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

  1. #1
    Member aldrincabrera's Avatar
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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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    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 $\displaystyle \inf(S)$ is either a point or a limit point of $\displaystyle S$ .
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