Results 1 to 2 of 2

Math Help - Calculate this limit

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    21

    Calculate this limit

    Need help with this limit please

    \lim{\sqrt{n^2+n}-n}
    n-> \infty

    I know the answer is 1/2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member pankaj's Avatar
    Joined
    Jul 2008
    From
    New Delhi(India)
    Posts
    318
    Quote Originally Posted by dlbsd View Post
    Need help with this limit please

    \lim{\sqrt{n^2+n}-n}
    n-> \infty

    I know the answer is 1/2
    On rationalising the numerator

    \lim_{n\to \infty}\frac{n}{\sqrt{n^2+n}+n}=\lim_{n\to \infty}\frac{1}{\sqrt{1+\frac{1}{n}}+1}=\frac{1}{1  +1}=\frac{1}{2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to calculate this limit?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 30th 2011, 10:32 AM
  2. Calculate this limit
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 8th 2010, 04:44 AM
  3. calculate the limit
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 12th 2010, 07:18 AM
  4. How to calculate this limit?
    Posted in the Calculus Forum
    Replies: 11
    Last Post: May 24th 2010, 06:12 AM
  5. How to calculate the following limit
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 22nd 2010, 07:47 PM

Search Tags


/mathhelpforum @mathhelpforum