The series begin inline style sum from n equals 1 to infinity of open parentheses negative 1 close parentheses to the power of n end style open parentheses n factorial close parentheses to the power of n over n to the power of n is Select one:

a. Convergent by Ratio Test.

b. Divergent by Root Test

c. Convergent by Root Test.

d. Non of the above.

e. Conditionally convergent.