# Calc6.21

From Example Problems

Discuss the convergence or divergence of the series .

Since the degree of the denominator is 2 greater than the degree of the numerator, we can most likely compare this to the series . First, let us manipulate our series a bit.

We can divide by since is never 0. Now, since , and because the terms of both series are all positive, we can use the direct comparison test to conclude that our series, , converges.