Results 1 to 3 of 3

Math Help - Rate of Convergence

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    27

    Rate of Convergence

    Ok i have a question im have been stuck on for a while.
    g(x) = f(x)^(1/3) and f(x)^(1/3)= (e^x-cos(x)-x-x^2)^(1/3)
    non MATH version
    g(x) = f(x)^(1/3) and f(x)^(1/3) = (e^x-cos(x)-x-x^2)^(1/3)

    What is the rate of convergence for lim x->0 of g(x)?

    Now to make it easier i took the taylor poly of the crazy function to degree 3. Which is (x^3)/6

    The part im confused about is what our prof told us in class.....
    lim h->0 of G(h) = 0, and lim h->0 of F(h) = L
    We say that F(h) converges to L with a Rate of Convergence O(G(h)).

    So what is the rate of convergence? and what is o(G(h))?
    Thank you for any direction you can provide!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Oct 2010
    Posts
    27
    Can Anyone give me any advice?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2010
    Posts
    27
    No ideas?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Convergence rate
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 10th 2010, 10:19 AM
  2. Convergence rate
    Posted in the Advanced Math Topics Forum
    Replies: 7
    Last Post: May 4th 2009, 02:16 PM
  3. rate of convergence
    Posted in the Pre-Calculus Forum
    Replies: 0
    Last Post: May 2nd 2009, 01:18 PM
  4. rate of convergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 14th 2008, 06:50 AM
  5. rate of convergence
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 30th 2008, 01:55 AM

Search Tags


/mathhelpforum @mathhelpforum