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.
As n approaches infinity, the exponential 2n overpowers n2. This means
so the sequence diverges. The statement