Hello, TAG16!

We have: .Converge or diverge?

Therefore, converges.

We have: .

Series . . . a convergent geometric series.

. . Hence, converges.

Series . . . a convergent -series.

. . Hence, converges.

The sum of two convergent series is convergent.

Therefore, converges.

We have: .

Hence: . . . . a divergent series

Therefore, diverges.