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.