Find $T_5(x),$ the degree $5$ Taylor polynomial of the function $f(x)=cos(x)$ at $a=0.$

$T_5(x)=$

$$

Find all values of $x$ for which this approximation is within $0\mathrm{.}00122$ of the right answer. Assume for simplicity that we limit ourselves to $|x|1.$

$|x|$