Source: wikibot/abel-s-test

= Abel's test
{wiki=Abel's_test}

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.