Results 1 to 3 of 3

Math Help - a problem about integral

  1. #1
    Newbie
    Joined
    Nov 2011
    Posts
    21

    a problem about integral

    \lim_{n\to\infty}\int_{0}^{\sqrt{n}}\left(1-\frac{\left x^2\right}{n}\right )^{n}dx

    i couldn't tackle it
    thanks for now.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member girdav's Avatar
    Joined
    Jul 2009
    From
    Rouen, France
    Posts
    675
    Thanks
    32

    Re: a problem about integral

    Do you know the dominated convergence theorem?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45

    Re: a problem about integral

    It can be useful the substitution t=x/\sqrt{n}, so \int_{0}^{\sqrt{n}}(1-x^2/n)^n\;dx=\sqrt{n}\int_{0}^{1}(1-t^2)^n\;dt .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integral problem involving the definition of the integral
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 23rd 2011, 07:06 AM
  2. integral problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 22nd 2010, 01:06 AM
  3. Integral problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 12th 2010, 01:46 PM
  4. Integral Problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: September 25th 2009, 06:11 AM
  5. Integral Problem
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 3rd 2009, 01:21 AM

Search Tags


/mathhelpforum @mathhelpforum