Results 1 to 3 of 3

Math Help - limit

  1. #1
    Member
    Joined
    Nov 2010
    Posts
    112

    limit

    $ \lim_{x\to 0} \frac{(1+x)^\frac{1}{x}-e+e\frac{x}{2}}{x^2}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Nov 2010
    Posts
    112

    Re: limit

    any view
    thanks in advance
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,160
    Thanks
    348

    Re: limit

    Note that

     \lim _{x \to 0} (1 + x)^{1/x} = \lim _{x \to \infty} (1 + \frac 1 x )^x = e

    So the prroblem becomes:  \lim _ {x \to 0} \frac {e - e + e \frac x 2 } {x^2}  =  \lim _{x \to 0} \frac e {2x} = \infty.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 12
    Last Post: August 26th 2010, 11:59 AM
  2. Replies: 1
    Last Post: August 8th 2010, 12:29 PM
  3. Replies: 16
    Last Post: November 15th 2009, 05:18 PM
  4. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 06:05 PM
  5. Replies: 15
    Last Post: November 4th 2007, 08:21 PM

Search Tags


/mathhelpforum @mathhelpforum