Answer

For the series, look at the limit of the terms. If

,

the series diverges. If

there's hope the series might converge, but we can't tell when our only tool is the Divergence Test.

As n approaches infinity, n! will overpower (n + 1) so

The series might converge, but we don't know for sure. The statement

" converges"

can't be decided using only the Divergence Test.