Search results
Results from the WOW.Com Content Network
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
Many authors do not name this test or give it a shorter name. [2] When testing if a series converges or diverges, this test is often checked first due to its ease of use. In the case of p-adic analysis the term test is a necessary and sufficient condition for convergence due to the non-Archimedean ultrametric triangle inequality.
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.
Summand limit (term test) ... it can be approximated by a line that goes through two points. This is known as a ... (and the value of f at x is called a critical value).
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 ]
Summand limit (term test) Ratio; Root; ... and Φ 32 is the flux through S 3 out of volume 2. The point is that surface S 3 is part of the ... each index takes values ...
This is known as the squeeze theorem. [ 1 ] [ 2 ] This applies even in the cases that f ( x ) and g ( x ) take on different values at c , or are discontinuous at c . Polynomials and functions of the form x a
One-sided limit: either of the two limits of functions of a real variable x, as x approaches a point from above or below; List of limits: list of limits for common functions; Squeeze theorem: finds a limit of a function via comparison with two other functions; Limit superior and limit inferior; Modes of convergence. An annotated index