hi it will be posible to improve the taylor or laurent series to the funtion

$\displaystyle \frac{1}{1+e^{-x^2}}$

so that the taylor series gives

$\displaystyle \frac{1}{2}+\frac{x^2}{4}-\frac{x^6}{48}...$

and it only convergent for x for -2 to 2 more or less