Find the first $4$ nonzero terms of the power series representation about $x=0$ for the function

$F(x)={\displaystyle \underset{0}{\overset{x}{}}}{e}^{\frac{-t^2}{2}}dt$

using what you know about the Taylor series for $e^x.$

$1$ st nonzero term $=$

$2$nd nonzer

$3$rd nonzero term $=$

$4$th nonzero term $=$

Example