None of the others converge.

Converges

Diverges

There is not enough information to decide convergence.

Conditionally converges.

Neither converges nor diverges.

The series is convergent.

The series is divergent.

Converge Conditionally.

Converge Absolutely.

Diverges.

Cannot tell with the given information.

Does not exist.

True

False

Integral Test: The improper integral determines that the harmonic series diverge.

P-Series Test: The summation converges since .

Root Test: Since the limit as approaches to infinity is zero, the series is convergent.

Nth Term Test: The series diverge because the limit as goes to infinity is zero.

Divergence Test: Since limit of the series approaches zero, the series must converge.