Results 1 to 2 of 2

Thread: Denseness question

  1. Oct 31st 2009, 12:44 AM #1
    bluebiro
    bluebiro is offline
    Junior Member
    Joined
    Oct 2008
    Posts
    62

    Denseness question

    Show that a subset (D) is dense iff for every x in R, there is a sequence such that the sequence is in D and the sequence tends to x.
    Follow Math Help Forum on Facebook and Google+
  2. Oct 31st 2009, 01:25 AM #2
    HallsofIvy
    HallsofIvy is offline
    MHF Contributor
    Joined
    Apr 2005
    Posts
    19,336
    Thanks
    2857
    What is the definition of "dense in R"? How can you show that definition holds?
    Follow Math Help Forum on Facebook and Google+
« "Halfway" through a proof, help needed | sequence question ! »

Similar Math Help Forum Discussions

  1. Denseness of a function
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: Jan 10th 2010, 02:17 AM
  2. "Denseness" and addition of irrationals
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: Jan 13th 2009, 11:29 PM
  3. Proof the following using denseness in reals
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Feb 28th 2008, 09:44 AM

Search Tags


/mathhelpforum @mathhelpforum