Results 1 to 2 of 2

Math Help - a proof at the beginning of analysis

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    54

    a proof at the beginning of analysis

    given any reel number x there is an integer n such that n>x
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by sah_mat View Post
    given any real number x there is an integer n such that n>x
    this is essentially asking for a proof of the Archimedean Property: If a>0 and b > 0, then for some integer n, we have na > b.

    i leave it to you to find the proof for this. chances are it is your text, if not (which would be strange) a quick web search should turn up results easily. it is a very famous property.

    setting a = 1 and b = x you have the claim you want to prove.

    minor modifications are needed for the case x \le 0
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Beginning calc 3 problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 11th 2010, 11:06 AM
  2. Beginning Discrete Proof
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: March 10th 2009, 10:26 AM
  3. Beginning Derivatives.
    Posted in the Calculus Forum
    Replies: 9
    Last Post: September 15th 2008, 07:13 PM
  4. Any help with this, just beginning calculus
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 15th 2008, 07:32 PM
  5. Beginning Discrete math, help plz.
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: January 24th 2008, 01:41 PM

Search Tags


/mathhelpforum @mathhelpforum