Results 1 to 2 of 2

Math Help - limit

  1. #1
    Super Member dhiab's Avatar
    Joined
    May 2009
    From
    ALGERIA
    Posts
    534

    limit

    Calculate this limit :
    \lim_{x\rightarrow 0}(\frac{1}{x}(x+1+\sqrt{x^{2}+1}-\frac{2}{x^{2}+1}))
    Last edited by dhiab; December 7th 2009 at 02:47 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by dhiab View Post
    Calculate this limit :
    \lim_{x\rightarrow 0}(\frac{1}{x}(x+1+\sqrt{x^{2}+1}-\frac{2}{x^{2}+1}))

    \lim_{x\rightarrow 0}\left(\frac{1}{x}\left(x+1+\sqrt{x^{2}+1}-\frac{2}{x^{2}+1}\right)\right) =\lim_{x\to 0}\frac{x^3+x^2+(x^2+1)^{3\slash 2}+x-1}{x^3+x}=1 , for example using L'Hospital's Rule.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 8th 2010, 11:29 AM
  2. Replies: 1
    Last Post: February 5th 2010, 03:33 AM
  3. Replies: 16
    Last Post: November 15th 2009, 04:18 PM
  4. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 05:05 PM
  5. Replies: 15
    Last Post: November 4th 2007, 07:21 PM

Search Tags


/mathhelpforum @mathhelpforum