# How do you know when to use the Root Test for convergence of a series?

##### 1 Answer

Nov 25, 2014

I would use Root Test when the terms of the series are in the form of some expression to the nth power; otherwise, I would try other tests first.

**Example**

Let us look at examine the convergence of the series:

By Root Test,

by dividing the numerator and the denominator by

Hence, the series is absolutely convergent.

I hope that this was helpful.