Document Zbl 1204.26003

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Burton, David; Coleman, John

Quasi-Cauchy sequences. (English) Zbl 1204.26003

Am. Math. Mon. 117, No. 4, 328-333 (2010).

Summary: A quasi-Cauchy sequence is one in which the distance between successive terms tends to zero. This is a far weaker property than that of being Cauchy, although students in undergraduate real analysis classes often struggle with the distinction between the two concepts. Nevertheless, quasi-Cauchy sequences have many interesting properties. In this paper we investigate such sequences in both the real number system and in general metric spaces.

Cited in 2 Reviews

Cited in 30 Documents

MSC:

26A06	One-variable calculus
97I30	Sequences and series (educational aspects)

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