What is the Root Test for Convergence of an Infinite Series?

1 Answer
Wataru
Oct 17, 2014

Root Test

If lim_{n to infty}root[n]{|a_n|}<1, then sum_{n=1}^inftya_n converges.
If lim_{n to infty}root[n]{|a_n|}>1, then sum_{n=1}^inftya_n diverges.
If lim_{n to infty}root[n]{|a_n|}=1, then it is inconclusive.

I hope that this was helpful.

Related questions
See all questions in Root Test for for Convergence of an Infinite Series
Impact of this question
2214 views around the world
You can reuse this answer
Creative Commons License