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Abel's test

 Home Mathematics Fields of mathematics Mathematical analysis Theorems in analysis Convergence tests
 0 By others on same topic  0 Discussions  1970-01-01  See my version
Abel's test is a convergence test for series of the form \(\sum a_n b_n\), where \(a_n\) is a monotonic sequence that converges to 0, and \(\{b_n\}\) is a bounded sequence. The test is useful in determining the convergence of series when you are dealing with products of sequences.

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