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Math Help - Boundary pts Vs. limit pts.

  1. #1
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    Boundary pts Vs. limit pts.

    Hello everyone

    I would like to know if there is any difference in an "analytic" pov between a limit point and a boundary point... Or answer me: ]a,b[ ... a and b are the boundary points and the limit points??
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  2. #2
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    Quote Originally Posted by rebghb View Post
    I would like to know if there is any difference in an "analytic" pov between a limit point and a boundary point... Or answer me: ]a,b[ ... a and b are the boundary points and the limit points??
    Consider the set M = (0,1] \cup \left\{ 2 \right\}.
    The boundary points of M are 0,~1,~\&~2.
    But 2 is not a limit point of M.
    However, any point in [0,1] is a limit point of M.
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  3. #3
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    okay i got that... what can we say about 2 then?? is it isolated?? and is set M bounded?? (ps im nwe to this so patience please)
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  4. #4
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    A boundary point that is not a limit point is an isolated point.
    If there is a B>0 such that M\subseteq [-B,B] then the set is bounded.
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