The series is .

Divergence test: For the series , If , then the series  is divergent.

Here .

Find .

Rewrite the series as the sum of two other series.

.

Consider .

Observe the series:

Common ratio is . \ \

Since , the series converges.

Consider .

Observe the series:

Common ratio is .

Since , the series diverges.

Since the series diverges then also diverges.

Therefore the series diverges.

The series is divergent.