Results 1 to 3 of 3

Math Help - convergence

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    17

    convergence

    Let
    f, g, h : A \subseteqR \rightarrowR be functions such that g(x) \leqf(x) \leqh(x) for all x \inA. Let p be an accumulation point of A: Prove that If limx \rightarrowp g(x) =limx \rightarrowp h(x) = l; where l \inR: Then limx \rightarrowp f(x) =l.

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,616
    Thanks
    1578
    Awards
    1
    Why not learn to post in symbols? You can use LaTeX tags.
    I do not think that any of us can read that garbage.
    If you are really a serious question the learn to post it is proper notation.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by janae77 View Post
    Let
    f, g, h : A \subseteqR \rightarrowR be functions such that g(x) \leqf(x) \leqh(x) for all x \inA. Let p be an accumulation point of A: Prove that If limx \rightarrowp g(x) =limx \rightarrowp h(x) = l; where l \inR: Then limx \rightarrowp f(x) =l.

    Quote Originally Posted by Plato View Post
    Why not learn to post in symbols? You can use LaTeX tags.
    I do not think that any of us can read that garbage.
    If you are really a serious question the learn to post it is proper notation.
    All she stated is the squeeze theorem.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: March 27th 2011, 07:42 PM
  2. Replies: 1
    Last Post: May 13th 2010, 01:20 PM
  3. Replies: 2
    Last Post: May 1st 2010, 09:22 PM
  4. dominated convergence theorem for convergence in measure
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: December 5th 2009, 04:06 AM
  5. Replies: 6
    Last Post: October 1st 2009, 09:10 AM

Search Tags


/mathhelpforum @mathhelpforum