Results 1 to 3 of 3

Math Help - radius of convergence

  1. #1
    TS1
    TS1 is offline
    Newbie
    Joined
    Apr 2010
    Posts
    19

    radius of convergence

    I need to find the radius of convergence of the following power series, state the regions in which the series converge uniformly and study the convergence at the boundary of the interval of convergence?
    How do i answer this and what is the answers i should get?

    the sum of series k! from k=0 to infinity

    any help would be appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,201
    Thanks
    1789
    What you written is NOT a power series. A power series is of the form \sum_{n=0}^\infty a_n x^n.

    What you have, \sum_{k=0}^\infty k!, has no variable and so none of the concepts of "radius of convergence", "uniform convergence", etc. apply. It is simply a numerical series that does not converge.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    TS1
    TS1 is offline
    Newbie
    Joined
    Apr 2010
    Posts
    19

    radius of convergence

    sorry i meant to type it as you have. i have worked out this probelm but am stuck on a different one.
    I need to find the radius of convergence of the following power series, state the regions in which the series converge uniformly and study the convergence at the boundary of the interval of convergence?
    How do i answer this and what is the answers i should get?

    the sum of power series [((n!)^2)/(2n!)] from k=1 to infinity
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: March 27th 2011, 08:42 PM
  2. Replies: 1
    Last Post: May 13th 2010, 02:20 PM
  3. Replies: 2
    Last Post: May 1st 2010, 10:22 PM
  4. Replies: 1
    Last Post: November 13th 2009, 07:42 AM
  5. series convergence and radius of convergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 15th 2008, 09:07 AM

Search Tags


/mathhelpforum @mathhelpforum