Convergent sequence
October 14th 2007
   |
|
Convergent sequence
Convergent series - Wikipedia, the free encyclopedia
In mathematics, a series is the sum of the terms of a sequence of numbers. Given a sequence , the n th partial sum S n is the sum of the first n terms of the sequence, that is, (more...)
convergent sequence - Wiktionary
Definition from Wiktionary, a free dictionary (more...)
convergent sequence definition | Dictionary.com
Sponsored Links Large Scale Sequencing Most Cost-Effective DNA Sequencing High Quality and Fast Turnaround www.genscript.com (more...)
Convergence - Wikipedia, the free encyclopedia
Convergent sequence, a sequence which has a limit, see limit of a sequence. Convergent series, a sequence of which the partial sums have a limit. Convergent of a (possibly infinite ... (more...)
Convergent Sequence -- from Wolfram MathWorld
A sequence is said to be convergent if it approaches some limit (D'Angelo and West 2000, p. 259). Formally, a sequence S_n converges to the limit S lim_(n->infty)S_n=S if, for any ... (more...)
PlanetMath: convergent sequence
AMS MSC: 40A05 (Sequences, series, summability :: Convergence and divergence of infinite limiting processes :: Convergence and divergence of series and sequences) (more...)
Convergent Sequences are Bounded
Proposition: Convergent Sequences are Bounded Let be a convergent sequence. Then the sequence is bounded, and the limit is unique. (more...)
More on Limit of a Sequence
Some basic properties. 1. The limit of a convergent sequence is unique. 2. Every convergent sequence is bounded. This is a quite interesting result since it implies that if a ... (more...)
Mathwords: Convergent Sequence
this page updated 29-jul-08 Mathwords: Terms and Formulas from Algebra I to Calculus written, illustrated, and webmastered by Bruce Simmons (more...)
A Convergent Sequence Satisfies the Cauchy Criterion - Wolfram ...
This Demonstration shows that a convergent sequence satisfies the Cauchy criterion. Suppose . For each , there exists , such that for all , . If , then. (more...)