@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-T1PXD0PW-T
  skos:exactMatch <https://en.wikipedia.org/wiki/Limit_of_a_sequence>, <https://fr.wikipedia.org/wiki/Limite_d%27une_suite> ;
  skos:inScheme psr: ;
  a skos:Concept ;
  dc:created "2023-08-02"^^xsd:date ;
  skos:definition """En mathématiques, de manière intuitive, la limite d'une suite est l'élément dont les termes de la suite se rapprochent quand les indices deviennent très grands. Cette définition intuitive n'est guère exploitable car il faudrait pouvoir définir le sens de « se rapprocher ». Cette notion sous-entend l'existence d'une distance (induite par la valeur absolue dans ℝ, par le module dans ℂ, par la norme dans un espace vectoriel normé). 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Limite_d%27une_suite">https://fr.wikipedia.org/wiki/Limite_d%27une_suite</a>)"""@fr, """In mathematics, the <b>limit of a sequence</b> is the value that the terms of a sequence "tend to", and is often denoted using the <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\lim }">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mo movablelimits="true" form="prefix">lim</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\lim }</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f3492ce8a823c21000f46e64db14732db9a8cce" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:3.23ex; height:2.176ex;" alt="\\\\lim "></span> symbol (e.g., <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\lim _{n\\	o \\\\infty }a_{n}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <munder>
<br/>          <mo movablelimits="true" form="prefix">lim</mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>            <mo stretchy="false">→<!-- → --></mo>
<br/>            <mi mathvariant="normal">∞<!-- ∞ --></mi>
<br/>          </mrow>
<br/>        </munder>
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\lim _{n\\	o \\\\infty }a_{n}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59d2a80ff6955b824f704802ffc03d3fe59270d1" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -1.838ex; width:7.108ex; height:3.676ex;" alt="{\\\\displaystyle \\\\lim _{n\\	o \\\\infty }a_{n}}"></span>). If such a limit exists, the sequence is called <b>convergent</b>. A sequence that does not converge is said to be <b>divergent</b>. The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests.
<br/>Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Limit_of_a_sequence">https://en.wikipedia.org/wiki/Limit_of_a_sequence</a>)"""@en ;
  skos:prefLabel "limit of a sequence"@en, "limite d'une suite"@fr ;
  dc:modified "2023-08-02"^^xsd:date ;
  skos:broader psr:-R2ZQC914-N .

psr:-R2ZQC914-N
  skos:prefLabel "suite"@fr, "sequence"@en ;
  a skos:Concept ;
  skos:narrower psr:-T1PXD0PW-T .

