# Math Help - Taylor expansion derivative

1. ## Taylor expansion derivative

Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

do the same for

[f(
xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

to prove it is
O(h2)

Please i need some help i am terribly confused

2. Originally Posted by hunter55
Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

do the same for

[f(xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

to prove it is O(h2)

Please i need some help i am terribly confused
I have absolutely no idea what this says.

$\frac{f(x_0-2h)-4f(x_1-h)+3f(x_0)}{2h}=O(h^2)$?

yaa