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In mathematics, the nth-term test for divergence [1] is a simple test for the divergence of an infinite series: If lim n → ∞ a n ≠ 0 {\displaystyle \lim _{n\to \infty }a_{n}\neq 0} or if the limit does not exist, then ∑ n = 1 ∞ a n {\displaystyle \sum _{n=1}^{\infty }a_{n}} diverges.
The test is inconclusive if the limit of the summand is zero. This is also known as the nth-term test , test for divergence , or the divergence test . Ratio test
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 a n 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.
This is a list of limits for common functions such as elementary functions. In this article, the terms a, b and c are constants with respect to x.
An Italian nun was arrested Thursday as part of a long investigation that led to the arrests of 25 suspects and the seizure of over 1,800,000 euros.
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 ]
A Texas teen is accused of killing a classmate’s show goat by force-feeding it pesticide. Aubrey Vanlandingham, 17, is charged with cruelty to livestock animals, a felony, according to court ...
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