Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By johng

Math Help - Confirmation

  1. #1
    Member
    Joined
    Jun 2013
    From
    Israel
    Posts
    158

    Confirmation

    Hi I need confirmation, Thank you.
    Attached Thumbnails Attached Thumbnails Confirmation-confirmation.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    627
    Thanks
    253

    Re: Confirmation

    Hi,
    Unfortunately I have to say that practically nothing of what you say is correct. In particular, your negation of a sequence an being a Cauchy sequence is wrong. A sequence is not Cauchy if and only if

    \exists\,\epsilon>0\,\,\forall N\,\exists\, n,m \text{ with }n\geq N,m\geq N\text{ such that }|a_n-a_m|\geq\epsilon

    The problem is "standard"; it is fundamental in proving a "fixed point" theorem. Here is a reference to this fixed point theorem which contains essentially a proof of your problem -- Banach fixed-point theorem - Wikipedia, the free encyclopedia. You want to look at Banach's original proof.
    Thanks from davidciprut
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jun 2013
    From
    Israel
    Posts
    158

    Re: Confirmation

    Yes, I suspected so... Thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Need confirmation.
    Posted in the Advanced Applied Math Forum
    Replies: 11
    Last Post: December 13th 2013, 02:47 PM
  2. Confirmation / Help
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 9th 2013, 10:43 AM
  3. Just need confirmation
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 6th 2011, 10:00 PM
  4. confirmation?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 28th 2009, 05:40 PM
  5. Replies: 5
    Last Post: August 11th 2009, 06:37 AM

Search Tags


/mathhelpforum @mathhelpforum