Results 1 to 2 of 2

Math Help - null sequences - help.....

  1. #1
    Newbie
    Joined
    Jul 2008
    Posts
    7

    null sequences - help.....

    Please help with this problem.....

    {an} = { (-1)^n }
    { n^2 }

    Show this is a null sequence. Can anybody help.?.?.?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by Craige View Post
    Please help with this problem.....

    {an} = { (-1)^n }
    { n^2 }

    Show this is a null sequence. Can anybody help.?.?.?
    Let \epsilon > 0 and choose N=\frac{1}{\sqrt{\epsilon}}.
    Then if n>N it will follow that |a_n|<\epsilon.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. null
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: December 16th 2013, 03:51 PM
  2. [SOLVED] null sequences.
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: May 6th 2011, 10:58 PM
  3. Monotone sequences and Cauchy sequences
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 21st 2009, 09:59 PM
  4. null sequences
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 25th 2008, 12:53 PM
  5. Replies: 5
    Last Post: January 16th 2008, 05:51 PM

Search Tags


/mathhelpforum @mathhelpforum