Question

Calculus 2 Final
Determine Summation from n=1 to infinity of (-1)^n * (n^n)/n!

the Nth root test comes out as inconclusive :/ need another method of finding out if it converges conditionally, absolutely, or diverges.

Answer 1

(-1)^n flip flops the sign.
(n^n)/n blows up fast both positive and negative due to the first part.

Answer 2

can you elaborate ? @ehuman