$[1/2$ Points$]$

PREVIOUS ANSWE

Consider the following function.

$f(x)=xsin(x),a=0,n=4,-0\mathrm{.}9x0\mathrm{.}9$

$($a$)$ Approximate $f$ by a Taylor polynomial with degree $n$ at the number $a.$

$T_4(x)=$

$($b$)$ Us$$ Taylor's Inequality to estimate the accuracy of the approximation $f(x)$~~$T_n(x)$ when $x$ lies in the given interval. $($Round $M$ up to the nearest integer. Round your a $|R_4(x)|$

Enter a number.

$($c$)$ Check your result in part $($b$)$ by graphing $|R_n(x)|.$

y

y