Find the Taylor polynomial $T_1(x)$ for the function $f(x)=3sin(5x)$ based at $b=0.$

$T_1(x)=$

Use the Tangent Line Error Bound to bound the error $|f(x)-T_1(x)|$ on the interval $I=[-0\mathrm{.}1,0\mathrm{.}1].$ True or False? $|f(x)-T_1(x)|0\mathrm{.}375$ for every $x$ in I.

True.

False.