Results 1 to 1 of 1

Math Help - Help!!!! Stirling's formula!!!!

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    Greece
    Posts
    2

    Help!!!! Stirling's formula!!!!

    Hello!!! Could anyone help me to solve this exercise?

    Using Stirling's formula show that( see the first attached file stirling1!!!), where S(x)=-xlnx-(1-x)ln(1-x), 0<=x<=1.

    I used n!=e^(-n)n^(n+1/2)(2π)^(1/2)*(1+O(1/n)) and my result is (see the second attached file stirling2).
    Is this equal to the result i have to show??

    Thank you!!!!

    Attached Thumbnails Attached Thumbnails Help!!!! Stirling's formula!!!!-stirling2-1-.png   Help!!!! Stirling's formula!!!!-stirling1-.png  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Problem involving Stirling's formula
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 14th 2011, 10:42 AM
  2. Stirling's Numbers
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: December 8th 2009, 12:16 AM
  3. Combinatorial estimate using Stirling's formula
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: August 30th 2009, 05:15 AM
  4. Stirling's Formula
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: August 24th 2009, 03:47 PM
  5. Stirling's formula manipulation
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: April 17th 2009, 07:32 AM

Search Tags


/mathhelpforum @mathhelpforum