Given a series of positive terms 
and a sequence of finite positive constants 
, let
 |
1. If 
,
the series converges.
2. If 
and the series 
diverges, the series diverges.
3. If 
,
the series may converge or diverge.
The test is a general case of Bertrand's test, the root test, Gauss's test,
and Raabe's test. With 
and 
, the test becomes Raabe's
test.
