Find the second Taylor polynomial T$2($x$)$ for the function f$($x$)=$ex$/5$ based at b$=0.$

T$2($x$)=$

$$$1+$x$5+150$x$2$

Use the Quadratic Approximation Error Bound to bound the error

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

on the interval $[-1,1].$

True or false: The Quadratic Approximation Error Bound indicates that

$|$f$($x$)$T$2($x$)|0\mathrm{.}000814$

for all x in I.

True False$$