Limit comparison test
This article describes a test that is used to determine, in some cases, whether a given infinite series or improper integral converges. It may help determine whether we have absolute convergence, conditional convergence, or neither.
View a complete list of convergence tests
Statement
Suppose we have two series of (eventually) positive terms:
and
Suppose, further, that the limit
exists and is a nonzero real number. Then, the series is a convergent series if and only if the series is a convergent series.