Results 1 to 2 of 2

Math Help - limit for function application?

  1. #1
    Member
    Joined
    Aug 2011
    Posts
    76
    Thanks
    1

    limit for function application?

    Hi. I have a certain applied math problem I'm pondering, but the core question seems to be more meta, so I'll ask it in a more general form. In brief, I'm wondering if calculus can be used to find the solution to a problem when the problem is solved by an infinite repetition of function application.

    In my problem, there is

    1. A function f(x), which provides an approximated solution to the problem.
    2. x0 which is the original input.

    If I repeatedly apply f, as in

    ...f(f(f(f(x))))...

    or (f . f . f . f...) x

    I seem to slowly get closer to the exact solution. It final solution seems to be the limit of some kind of function which uses repeated applications of f(), as the number of those applications approaches infinity. So, is this the sort of problem that calculus can help you with? Or is it fundamentally incompatible with calculus because of the discrete element to the problem? (I.e., the repeated function application being the discrete element.)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Dec 2012
    From
    India
    Posts
    9
    Thanks
    1

    Re: limit for function application?

    u know f(x)
    Find( f.f(x)
    Then (f.f.f)x
    You will find some fixed pattern, on the bases of which you find out (f.f.f--ntimes)x
    Then find lim n->infinity [(f.f.f--ntimes)x
    This gives you the fin al result.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Central Limit Theorem Application
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: May 4th 2012, 08:30 AM
  2. Central Limit Theorem Application
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: December 2nd 2011, 05:14 AM
  3. 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
  4. Central Limit theory application
    Posted in the Statistics Forum
    Replies: 0
    Last Post: January 19th 2009, 08:30 AM
  5. quadratic function application
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: December 12th 2006, 03:38 AM

Search Tags


/mathhelpforum @mathhelpforum