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Limit points of Sets

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data

    Consider the set in E^2 of points {(x,y)|(x,y)=(1/n,1-1/n), where n is a positive integar}. Find the limit points, interior points and boundary points. Determine whether this set is open or closed.

    2. Relevant equations

    3. The attempt at a solution
    I figured, 0,1 must be the boundary points of the set but a mate claims they are the limit points instead that has brought me into this confusion of what exactly is the difference between the two.
  2. jcsd
  3. Sep 18, 2011 #2


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    Science Advisor

    "0" and "1" can't be boundary points of the set. This set is in R2- all points in it, all boundary points, all limit points, etc. must be of the form (a, b), an ordered pair of numbers, not a number. You and your mate both need to rethink the entire problem!
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