Find Rates of convergence for function as h->0


by jashley
Tags: convergance, numerical analysis, taylor expansion
jashley
jashley is offline
#1
Sep9-11, 04:28 PM
P: 1
1. The problem statement, all variables and given/known data

Find Rates of convergence for function as h->0
lim(h->0) [sin(h)-h*cos(h)]/h=0


2. Relevant equations

I know that how to do the Taylor expansion with summation but I don't really understand when the xi error constant comes into play. How do you decide which factor to apply it to.

3. The attempt at a solution
Back of the book says O(h^2) for the answer
Phys.Org News Partner Science news on Phys.org
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance

Register to reply

Related Discussions
rates of convergence Calculus & Beyond Homework 0
what is a similar function i can use to prove divergence/convergence of this function Calculus & Beyond Homework 0
Once i find the radius of convergence, how do i find the interval of convergence? Calculus & Beyond Homework 3
Rates of convergence Calculus & Beyond Homework 8