Find the Taylor polynomial T$2($x$)$ for the function f$($x$)=$ln$(1+$x$)$ based at b$=0.$

T$2($x$)=$

x$12$x$2$

Use the Quadratic Approximation Error Bound to bound the error

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

on the interval

I$=$

$$

$15$

$,$

$15$

$.$

Which of the following is true for all values of x in I?

$|$f$($x$)$T$2($x$)|0\mathrm{.}0053$

$|$f$($x$)$T$2($x$)|0\mathrm{.}0260$

$$All of the above.None of the above.