Multivariable epsilon-delta limit definitions

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorLiang, Spencer-
Data de aceite: dc.date.accessioned2019-08-21T19:20:10Z-
Data de disponibilização: dc.date.available2019-08-21T19:20:10Z-
Data de envio: dc.date.issued2008-
Data de envio: dc.date.issued2008-12-14-
Data de envio: dc.date.issued2008-12-14-
Data de envio: dc.date.issued2008-12-14-
Data de envio: dc.date.issued2008-11-13-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/7954-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/489610-
Descrição: dc.descriptionDefinition of a limit of single-variable functions, two-variable functions, surfaces-
Descrição: dc.descriptionThe definition of a limit: The expression lim x→a f(x) = L is an abbreviation for: the value of the single-variable function f(x) approaches L as x approaches the value a. More formally, this means that f(x) can be made arbitrarily close to L by making x sufficiently close to a, or in precise mathematical terms, for each real ε>0, there exists a δ>0 such that 0<│x-a│<δ→│f(x)-L│<ε. In other words, the inequalities state that for all x except a within δ of a, f(x) is within ε of L. This definition extends to multivariable functions as distances are measured with the Euclidean metric. In the figure, the horizontal planes 10±ε represent the bounds on f(x,y) and the cylinder is │x-a│=δ. No matter what ε is given, a δ is found (represented by the changing radius of the cylinder) so that all points on the surface z=f(x,y) inside the cylinder are between the two planes-
Descrição: dc.descriptionComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationMultivariableEpsilonDeltaLimitDefinitions.nbp-
Direitos: dc.rightsDemonstration freeware using Mathematica Player-
???dc.source???: dc.sourcehttp://demonstrations.wolfram.com/MultivariableEpsilonDeltaLimitDefinitions/-
Palavras-chave: dc.subjectEpsilon-Delta Limit-
Palavras-chave: dc.subjectTwo-variable functions-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Análise-
Título: dc.titleMultivariable epsilon-delta limit definitions-
???dc.description3???: dc.description3This demonstration needs the &quot;MathematicaPlayer.exe&quot; to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737-
Aparece nas coleções:Repositório Institucional - MEC BIOE

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