Results 1 to 3 of 3

Thread: Generalized Sequence

  1. September 18th 2007, 05:57 PM #1
    ThePerfectHacker
    ThePerfectHacker is offline
    Global Moderator ThePerfectHacker's Avatar
    Joined
    Nov 2005
    From
    New York City
    Posts
    10,603

    Generalized Sequence

    This is my own question I was wondering of. We can generalize integration by using the Lebesque integral for bounded functions. Can we generalize the limit of a sequence for bounded sequences?

    For example how will we define \lim (-1)^n = ?.
    Follow Math Help Forum on Facebook and Google+
  2. September 19th 2007, 12:23 AM #2
    Opalg
    Opalg is offline
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    The Banach limit of the sequence ((-1)^n) is zero.
    Follow Math Help Forum on Facebook and Google+
  3. September 19th 2007, 09:37 AM #3
    ThePerfectHacker
    ThePerfectHacker is offline
    Global Moderator ThePerfectHacker's Avatar
    Joined
    Nov 2005
    From
    New York City
    Posts
    10,603
    Sweet.
    Follow Math Help Forum on Facebook and Google+
« volume integral | Well behaved functions »

Similar Math Help Forum Discussions

  1. [SOLVED] Generalized integral
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 16th 2010, 03:45 AM
  2. Generalized Functions
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: March 10th 2010, 06:07 AM
  3. Help with a Generalized integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 9th 2009, 08:14 PM
  4. generalized eigenvector
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: November 22nd 2008, 07:30 PM
  5. Generalized Mean Value Theorem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 28th 2006, 07:51 AM

Search Tags


/mathhelpforum @mathhelpforum