Results 1 to 2 of 2

Math Help - Cauchy's criteria of uniform convergence of series

  1. #1
    MHF Contributor Also sprach Zarathustra's Avatar
    Joined
    Dec 2009
    From
    Russia
    Posts
    1,506
    Thanks
    1

    Cauchy's criteria of uniform convergence of series

    How to prove Cauchy's criteria of uniform convergence of series using same Cauchy's criteria for sequence of functions.
    .
    .
    .

    |S_{n+p}-S_n|=|f_{n+1}+...+f_{n+p}|... now what...?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721
    Quote Originally Posted by Also sprach Zarathustra View Post
    How to prove Cauchy's criteria of uniform convergence of series using same Cauchy's criteria for sequence of functions.
    .
    .
    .

    |S_{n+p}-S_n|=|f_{n+1}+...+f_{n+p}|... now what...?
    I don't really get what the difficulty is, just take the sequence of partial sums and apply the theorem for sequences.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Uniform Convergence of a series
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 3rd 2010, 07:52 AM
  2. Proof of Non-Uniform Continuity Criteria
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: March 14th 2010, 08:49 AM
  3. uniform convergence series
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: January 8th 2010, 03:42 PM
  4. uniform convergence of a series.
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: November 30th 2009, 05:12 PM
  5. Uniform Convergence of Series
    Posted in the Calculus Forum
    Replies: 12
    Last Post: November 3rd 2007, 08:11 PM

Search Tags


/mathhelpforum @mathhelpforum