# Math Help - Rate of Convergence

1. ## 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!

2. Can Anyone give me any advice?

3. No ideas?