Results 1 to 2 of 2

Math Help - more Proofs (real analysis)

  1. #1
    Newbie
    Joined
    Jan 2007
    Posts
    2

    more Proofs (real analysis)

    thanks
    Last edited by tomatoe; March 15th 2007 at 08:56 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,959
    Thanks
    1783
    Awards
    1
    For part a.
    Theorem If a sequence converges then it is bounded.

    Theorem A bounded sequence times a null sequence is null.
    (Null meaning the sequence has limit 0.)

    Therefore the sequence x_n is bounded. Let (y_n)=n, then (1/y_n) is null.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Proofs using real numbers and integers
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: September 8th 2011, 07:58 PM
  2. Geometric Proofs= this time for real
    Posted in the Geometry Forum
    Replies: 7
    Last Post: August 10th 2009, 09:37 PM
  3. Real Analysis - Sets and Proofs
    Posted in the Advanced Math Topics Forum
    Replies: 11
    Last Post: September 10th 2008, 07:28 PM
  4. Real analysis - limit proofs
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 20th 2008, 07:29 PM
  5. Proofs Questions (Real Analysis)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 15th 2007, 03:05 PM

Search Tags


/mathhelpforum @mathhelpforum