About: Limit of a sequence

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In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). If such a limit exists, the sequence is called convergent. A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests. Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers.

Attributes	Values
rdf:type	Thing
rdfs:label	Limit of a sequence (en)
rdfs:comment	In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). If such a limit exists, the sequence is called convergent. A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests. Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers. (en)
rdfs:seeAlso	List of limits
sameAs	Limit of a sequence Limit of a sequence
dbp:wikiPageUsesTemplate	dbt:Anchor dbt:Annotated_link dbt:For dbt:Main dbt:Refimprove dbt:Reflist dbt:See_also dbt:Sfn dbt:Short_description dbt:Visible_anchor dbt:Springer dbt:Calculus_topics dbt:Dugundji_Topology dbt:Császár_General_Topology
Subject	Sequences and series Limits (mathematics)
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Limit_of_a_sequence?oldid=1068228225&ns=0
Wikipage page ID	285773 (xsd:integer)
page length (characters) of wiki page	17537 (xsd:nonNegativeInteger)
Wikipage revision ID	1068228225 (xsd:integer)
Link from a Wikipage to another Wikipage	Frank Morley Antiphon (orator) Noli turbare circulos meos! Arithmetic Arithmetic–geometric mean Bernard Bolzano Sequence Carl Friedrich Gauss Sequences and series Geometric series James Harkness (mathematician) Joseph-Louis Lagrange Limits (mathematics) Domain of a function Leonhard Euler Method of exhaustion Metric space Set-theoretic limit Zeno's paradoxes Zeno of Elea Decimal representation Democritus Hypergeometric function Hyperinteger Hyperreal number Shift rule Squeeze theorem Complete metric space Continuous function E (mathematical constant) Function (mathematics) Karl Weierstrass Extended real number line Hausdorff space Infinitesimal Integer Modes of convergence Eudoxus of Cnidus Standard part function Subspace topology Topological indistinguishability Topological space Isaac Newton Leucippus Limit inferior and limit superior Limit of a function Limit point Numerical analysis Mathematician Mathematics History of numbers Neighbourhood (mathematics) Net (mathematics) Range of a function Real analysis Real number Richard Courant
has abstract	In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ). If such a limit exists, the sequence is called convergent. A sequence that does not converge is said to be divergent. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests. Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Limit_of_a_sequence
is rdfs:seeAlso of	Filters in topology Limit of a function
is Wikipage redirect of	Null sequence Null sequences Topological convergence Limit of a sequence (topology) Limit point of a sequence Convergent sequence Divergent sequence
is Link from a Wikipage to another Wikipage of	Foias constant Force-directed graph drawing Formal power series

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