Ok i have a question im have been stuck on for a while.
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!