Determine if the series is absolutely convergent, conditionally convergent or divergent. We're using the Ratio and Root Test and absolute convergence in this section.
Determine if the series is absolutely convergent, conditionally convergent or divergent. We're using the Ratio and Root Test and absolute convergence in this section.
First lets check for absolute convergence. So
So using the root test we see that
Using the fact that
We can see that our limit is equal to zero, thus the series converges. And I'm sure you know that if