Results 1 to 2 of 2

Math Help - Another real analysis problem.

  1. #1
    Newbie
    Joined
    Feb 2009
    From
    New York
    Posts
    14

    Another real analysis problem.

    prove the following:

    lim (3n+1/n+2)=3
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by trojanlaxx223 View Post
    prove the following:

    lim (3n+1/n+2)=3
    Let \epsilon > 0

    Choose N \in \mathbb{N} such that for all n > N

    n > \frac{5}{\epsilon} \iff \epsilon > \frac{5}{n}

    \left| \frac{3n+1}{n+2}-3 \right|=\left| \frac{-5}{n+2}\right|< \frac{5}{n}< \epsilon
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Real Analysis Problem
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 14th 2010, 10:01 AM
  2. Lim sup problem from Halsey Royden, Real Analysis
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: June 5th 2010, 07:10 PM
  3. Help! Intro to Real Analysis problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 18th 2008, 12:54 PM
  4. Real Analysis Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 12th 2008, 05:12 PM
  5. Real Analysis Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 24th 2008, 03:42 AM

Search Tags


/mathhelpforum @mathhelpforum