Correct Answer!!!
You have correctly identified this series as an absolutely
convergent series - this can be justified using the
.
A somewhat simpler solution can also be obtained by recognizing our
series as a p-series. A general form of a p-series is
which converges if p > 1 and diverges if p £ 1. Since in our case the
series has p = 2.5 > 1, the series converges. Moreover, since the series has
positive terms, its convergence implies .