# Calc6.22

From Example Problems

Discuss the convergence or divergence of the series .

The square root of acts a lot like so this function acts a lot like . Let us use the direct comparison test to see if our series converges or diverges.

Since the terms are less, term by term, than a series which is known to converge (because it is a p-series with p=2) by the direct comparison test, this series converges.