- Return to the Series, Convergence, and Series Tests starting page
- Return to the List of Series Tests

If the limit of |

Let's look at an example of this:

Look at the ratio of consecutive terms, and find the limit.

Note the use of l'Hôpital's Rule in the second-to-last step. This limit, being less than 1, tells us that the series converges.

Copyright © 1996 Department of Mathematics, Oregon State University

If you have questions or comments, don't hestitate to contact us.