Results 1 to 2 of 2

Math Help - One more proof with sequences

  1. #1
    Member thaopanda's Avatar
    Joined
    Sep 2009
    From
    Worcester, Massachusetts
    Posts
    85

    One more proof with sequences

    let { a_n} n \in N be a sequence of real numbers and suppose that lim a_n = A as n goes to infinity, where A > 0. Prove that there exists N_o \in N such that a_n > 0 for all n > N_o
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Aug 2009
    Posts
    125
    Hi,

    if you write down definition of the limit of a sequence, then setting \varepsilon = A/2 (or \varepsilon = A if you wish) gives you directly the answer.. try it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. proof for sequences
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 25th 2009, 07:59 PM
  2. Proof by induction and sequences
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: May 7th 2009, 08:06 AM
  3. 2 Proof of Sequences
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 23rd 2007, 07:53 PM
  4. limits of sequences proof
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 1st 2007, 05:46 PM
  5. convergent sequences proof
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 11th 2007, 06:33 PM

Search Tags


/mathhelpforum @mathhelpforum