Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.
The series diverges.
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.
The limit of the terms is
so the series may or may not converge. Since we're only using the Divergence Test, we can't tell whether the statement
is true or not.