# Taylor series

1. Jan 4, 2009

### Fairy111

1. The problem statement, all variables and given/known data

Use Taylor's Theorem to estimate the order of the truncation error in the following approximate formula, when the step size is small:

2. Relevant equations

f ' (x) = [-f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h)]/[12h]

3. The attempt at a solution

i know that to find the error i need to express the formula in a taylor series, and then i just take the next term and evaluate the derivative at that point.

I have no idea how to use the taylor's theorem though.