$($cunuly

$3.(5$ points$)$ Is it possible for a series ${\displaystyle \underset{?}{\overset{?}{}}}{a}_n$ to converge, but the sequence $a_n$ diverges? If so$,$ give an example. If not, explain why not.

yes it is prsublu

Ean con conrufe

but

Elanl con rinate

$4.(10$ points$)$ Use a $2^{nd}$ degree Taylor polynomial for $f(x)=\sqrt[\phantom{2}]{x}$ to approximate $\sqrt[\phantom{2}]{1\mathrm{.}2}.$

$($Hints: Choose a center close to $1\mathrm{.}2$ and remember $\sqrt[\phantom{2}]{x}=x^{\frac{1}{2}})$

$F(x)=\sqrt[\phantom{2}]{1\mathrm{.}2}=1\mathrm{.}085$