Results 1 to 4 of 4

Thread: bounded

  1. April 11th 2011, 08:30 AM #1
    alexandrabel90
    alexandrabel90 is offline
    Super Member
    Joined
    Aug 2009
    Posts
    639

    bounded

    if a series from n=o to inifitity a_n is conditionally convergent, does it mean that the terms are bounded?
    Follow Math Help Forum on Facebook and Google+
  2. April 11th 2011, 08:47 AM #2
    Plato
    Plato is offline
    MHF Contributor
    Joined
    Aug 2006
    Posts
    17,004
    Thanks
    780
    Awards
    1
    MHF Donor
    Quote Originally Posted by alexandrabel90 View Post
    if a series from n=o to inifitity a_n is conditionally convergent, does it mean that the terms are bounded?
    Is this true: "Convergent sequences are bounded"?

    Is this true: " \sum\limits_n {a_n } converges only if a_n\to 0~?"
    Follow Math Help Forum on Facebook and Google+
  3. April 11th 2011, 08:52 AM #3
    alexandrabel90
    alexandrabel90 is offline
    Super Member
    Joined
    Aug 2009
    Posts
    639
    Yes..
    Follow Math Help Forum on Facebook and Google+
  4. April 11th 2011, 08:59 AM #4
    Plato
    Plato is offline
    MHF Contributor
    Joined
    Aug 2006
    Posts
    17,004
    Thanks
    780
    Awards
    1
    MHF Donor
    Quote Originally Posted by alexandrabel90 View Post
    Yes..
    What does that mean?
    Follow Math Help Forum on Facebook and Google+
« Number of solutions | simple limits question »

Similar Math Help Forum Discussions

  1. Closure of a totaly bounded set is totally bounded
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: April 8th 2011, 07:42 PM
  2. If f: R^n --> R^m is continuous everywhere and S is bounded, then f(S) is bounded
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 14th 2010, 06:15 AM
  3. If f is a uniformly continuous function on a bounded set S, then f is a bounded on S
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 17th 2010, 06:12 PM
  4. Any bounded seq. has a converging subseq. <=> every bounded monotone seq. converges
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: October 12th 2009, 08:43 PM
  5. Need to prove that bounded <=> totally bounded in Rn
    Posted in the Calculus Forum
    Replies: 0
    Last Post: July 1st 2008, 02:47 AM

Search Tags


/mathhelpforum @mathhelpforum