$9.(10$ points$)$ Suppose that we want to approximate f

$$

$($x$),$ with f$($x$)=$ sin$($x$)$ and x $=\backslash$pi $/3,$ so

that f

$$

$($x$)=0\mathrm{.}5.$

We will use the forward difference formula:

$$f

$$

$($x$)=$ f$($x $+$ h$)$ f$($x$)$

h

$.(4)$

Below is a table giving the relative error of the approximation for various values of h$,$ when

implemented in Matlab.