Kummer's Test
Given a Series of Positive terms 
and a sequence of finite Positive constants 
, let
- 1. If
, the series converges. - 2. If
, the series diverges. - 3. If
, the series may converge or diverge.
and 
, the test becomes Raabe's Test.See also Convergence Tests, Raabe's Test
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 285-286, 1985. Jingcheng, T. ``Kummer's Test Gives Characterizations for Convergence or Divergence of All Series.'' Amer. Math. Monthly 101, 450-452, 1994. Samelson, H. ``More on Kummer's Test.'' Amer. Math. Monthly 102, 817-818, 1995.
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- Bellows Conjecture
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