Use series to estimate the integral's value to within an error of magnitude less than ${10}^{-3}.$ Round to four decimal places.

${\displaystyle \underset{0}{\overset{0\mathrm{.}3}{}}}{e}^{-x^2}dx$

$$ A$.0\mathrm{.}8455$

B$.0\mathrm{.}1547$

C$.0\mathrm{.}2654$

D$.0\mathrm{.}2912$