Ads
related to: convergence test calculuskutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
This is also known as the nth root test or Cauchy's criterion. where denotes the limit superior (possibly ; if the limit exists it is the same value). If r < 1, then the series converges absolutely. If r > 1, then the series diverges. If r = 1, the root test is inconclusive, and the series may converge or diverge.
t. e. In mathematics, the integral test for convergence is a method used to test infinite series of monotonic terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test.
Integration Bee. Mathematical analysis. Nonstandard analysis. v. t. e. In mathematics, Dirichlet's test is a method of testing for the convergence of a series. It is named after its author Peter Gustav Lejeune Dirichlet, and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862.
e. In mathematics, the ratio test is a test (or "criterion") for the convergence of a series. where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio 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 ...
In mathematics, the limit comparison test (LCT)(in contrast with the related direct comparison test) is a method of testing for the convergence of an infinite series. Statement. [edit] Suppose that we have two series Σnan{\displaystyle \Sigma _{n}a_{n}}and Σnbn{\displaystyle \Sigma _{n}b_{n}}with an≥0,bn>0{\displaystyle a_{n}\geq 0,b_{n}>0 ...
In mathematics, the root test is a criterion for the convergence (a convergence test) of an infinite series.It depends on the quantity | |, where are the terms of the series, and states that the series converges absolutely if this quantity is less than one, but diverges if it is greater than one.
e. In mathematical analysis, the alternating series test is the method used to show that an alternating series is convergent when its terms (1) decrease in absolute value, and (2) approach zero in the limit. The test was used by Gottfried Leibniz and is sometimes known as Leibniz's test, Leibniz's rule, or the Leibniz criterion.
Ads
related to: convergence test calculuskutasoftware.com has been visited by 10K+ users in the past month