Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.
The series converges.
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
can't be decided using only the Divergence Test.