Find the second Taylor polynomial T$2($x$)$ for the function f$($x$)=$sin$($x$)$ based at b$=0.$

T$2($x$)=$

x

Use the Quadratic Approximation Error Bound to bound the error

$|$f$($x$)$T$2($x$)|$

on the interval

I$=[0\mathrm{.}6,0\mathrm{.}6].$

True or False?

$|$f$($x$)$T$2($x$)|$

$0\mathrm{.}633!$

for every x in I.

True.False.$$