limit

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-12.14

https://metanorma.github.io/isq-smart/math/part-2-12/t2-12.14
urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.14

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-12.14

IEC

urn:iec:std:iec:80000-2:2019:::item:2-12.14

Designations

ENlimit

FRlimite

Symbol

lim_{x \to a} f (x)

lim_{x \to a} f (x)

Notation systems

AsciiMath

lim_(x->a)f(x)

AsciiMath

lim_(x->a)f(x)

LaTeX

\lim_{x \to a} f ( x )

LaTeX

\lim_{x \to a} f ( x )

Definition

limit of $f (x)$ as $x$ tends to $a$

limite de $f (x)$ quand $x$ tend vers $a$

Notes

$f (x) \to b$ as $x \to a$

may be written for $lim_{x \to a} f (x) = b$ .

Limits "from the right" $(x > a)$ and "from the left" $(x < a)$ are denoted by

$lim_{x \to a +} f (x)$ and

$lim_{x \to a -} f (x)$ , respectively.

$f (x) \to b$ lorsque $x \to a$

peut être utilisé pour $lim_{x \to a} f (x) = b$ .

Les limites «à droite» $(x > a)$ et «à gauche» $(x < a)$ sont notées respectivement

$lim_{x \to a +} f (x)$ et

$lim_{x \to a -} f (x)$ .

Ontology
isq:MathConcept smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:MathConcept

A mathematical concept as defined in ISO/IEC 80000 Part 2.

Instance IRI

isq:t2-12.14

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-12.14
skosxl:prefLabel	"limit"@en
skosxl:altLabel	"lim_(x->a)f(x)"@en"lim_(x->a)f(x)"@en
skos:definition	limit of stem:[f(x)] as stem:[x] tends to stem:[a]
skos:note	stem:[f(x) -> b] as stem:[x -> a] may be written for stem:[lim_(x->a)f(x)=b]. Limits "from the right" stem:[(x > a)] a…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-12

Related Entities

isq:MathConceptShape isq:part-2-12 smart:TermEntry