Abel's test
Test for series convergence / From Wikipedia, the free encyclopedia
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This article is about the mathematical method of testing for the convergence of an infinite series. For the test for determining the flash point of petroleum, see Abel test.
In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after mathematician Niels Henrik Abel, who proved it in 1826.[1] There are two slightly different versions of Abel's test – one is used with series of real numbers, and the other is used with power series in complex analysis. Abel's uniform convergence test is a criterion for the uniform convergence of a series of functions dependent on parameters.