Determine whether the series $isabsolutely$ convergent, conditionally convergent, $or$

divergent.

$1-\frac{2!}{1*3}+\frac{3!}{1*3*5}-\frac{4!}{1*3*5*7}+$cdots

$+\frac{(-1{)}^{n-1}n!}{1*3*5*cdots*(2n-1)}+$cdots

Select the correct answer.

$absolutely$ convergent

conditionally convergent

divergent