Select the true statement for the series the summation from n=1 to infinity of n!/(2n-1)

Question

a) The series converges by the ratio test.
b) The series diverges by the integral test.
c) The series converges by the integral test.
d) The series diverges by the nth term test.
My answer is b or d?. Can you ckeck for me please. thanks

Answer 1

I like D
clearly, for sufficiently large n, n! > 2n-1 so the nth term does not approach zero