Results 1 to 2 of 2

Thread: Real analysis

  1. August 1st 2010, 02:51 AM #1
    rondo09
    rondo09 is offline
    Newbie
    Joined
    Aug 2010
    Posts
    13

    Real analysis

    {{\lim_{\substack{x\rightarrow\pi}} {\left( \frac {x}{x-\pi}{\int_{\pi}^{x} }\frac{sin t}{t}} dt\right)}
    Follow Math Help Forum on Facebook and Google+
  2. August 1st 2010, 04:37 AM #2
    HallsofIvy
    HallsofIvy is offline
    MHF Contributor
    Joined
    Apr 2005
    Posts
    13,715
    Thanks
    541
    Of course, you can treat the "x" outside the integral separately- it goes to \pi. That leaves \frac{\int_\pi^x\frac{sin(t)}{t}dt}{x- \pi} which is of the form "0/0". Use L'Hopital's rule for that.
    Follow Math Help Forum on Facebook and Google+
« integrate Sin (z Sin t) , etc | Using integrals :D »

Similar Math Help Forum Discussions

  1. Two Real Analysis Q's
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: January 29th 2011, 01:15 PM
  2. real analysis
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 12th 2009, 08:29 AM
  3. real analysis
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: September 7th 2009, 05:16 PM
  4. Real Analysis Help!!
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 6th 2008, 06:38 PM
  5. Real Analysis
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 19th 2006, 10:37 AM

Search Tags


/mathhelpforum @mathhelpforum