How can we use Taylor series to derive the truncation error of the approximation
$f^\prime(x)\approx\frac{f(x+h)-f(x-h)}{2h}$
How can we use Taylor series to derive the truncation error of the approximation
$f^\prime(x)\approx\frac{f(x+h)-f(x-h)}{2h}$
Hint: Start by taking the Taylor polynomial of degree 2 for $f(x+h)$ (as a function of $h$), and then substitute $-h$ for $h$ in this...