Start of Tests

Look at your series. Treat the individual terms of the series as a sequence instead. Does this sequence converge to zero? If not, then the series does not converge. This is called the Divergence Test. If the limit is zero, then continue with the tests. If it's difficult to tell, then continue with the tests.

For example,

the sum over n from
1 to infinity of n^2 diverges since the limit as n goes to infinity of n^2
is not 0

Copyright © 1996 Department of Mathematics, Oregon State University

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