Results 1 to 2 of 2

Math Help - Epsilon-n0 definition of convergence of a sequence

  1. #1
    Member
    Joined
    Oct 2010
    Posts
    150

    Epsilon-n0 definition of convergence of a sequence

    Use the epsilon-n0 definition of convergence of a sequence to prove that  \lim_{n \rightarrow \infty } \frac{ {a}^2_{n} -1 }{{a}^2_{n} +1}} = L ℝ.

    I'm very new to epsilon-
    n0 proofs. Can someone help me get started? I substituted L for the actual value of the limit as I'm waiting to see what the actual value is (not sure if it can be in terms of L).

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,797
    Thanks
    1532

    Re: Epsilon-n0 definition of convergence of a sequence

    It would help if you would go back and check the problem again because what you have written doesn't make much sense. You can't prove that " \frac{a_n^2- 1}{a_n^2+ 1}= L" without knowing what the a_n are. Perhaps you were asked to show that if that limit exists, then the limit of the a_n exists? Or vice versa?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Convergence of sequence using definition
    Posted in the Calculus Forum
    Replies: 7
    Last Post: March 24th 2013, 02:24 PM
  2. definition of convergence of a sequence
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: September 23rd 2011, 11:04 AM
  3. Convergence of sequence using the definition
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: August 2nd 2010, 07:47 AM
  4. Replies: 6
    Last Post: October 24th 2008, 01:45 PM
  5. epsilon-delta definition
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 12th 2007, 09:45 AM

Search Tags


/mathhelpforum @mathhelpforum