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Limit of a function

Although the function ⁠ sin ⁡ x x {\displaystyle {\tfrac {\sin x}{x}}} ⁠ is not defined at zero, as x becomes closer and closer to zero, ⁠ sin ⁡ x x {\displaystyle {\tfrac {\sin x}{x}}} ⁠ becomes arbitrarily close to 1. In other words, the limit of ⁠ sin ⁡ x x , {\displaystyle {\tfrac {\sin x}{x}},} ⁠ as x approaches zero, equals 1.

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Functions of a single variable

Limits involving infinity

Functions of more than one variable

Functions on metric spaces

Functions on topological spaces

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Limit of a function

Nodes96
Edges95
Triples36
Avg. degree1.98
Density0.020833
Components1

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Limit of a function

Top relations

related to In terms of sequences · 13
Limit of a function → Dm, Eduard Heine, For, Heine, In, It, Let, Note, Sierpiński, Similarly, Then, This, Weierstrass's
related to history · 12
Limit of a function → Although, Augustin-Louis Cauchy, Bernard Bolzano, Bruce Pourciau, Cours, Grabiner, He, However, In, Isaac Newton, Karl Weierstrass, Principia
related to In non-standard calculus · 7
Limit of a function → Bŀaszczyk, Here, Hrbacek, Hrbacek's, In, Keisler, On
related to Relationship to continuity · 2
Limit of a function → The, We
is a · 1
Limit of a function → fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which may or may not be in the domain of the function.Formal defini…

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displaystyle limit function lim limits approaches definition exists mathbb infty defined example real may say one implies value point varepsilon

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SubjectPredicateObjectConfidenceSrc
Limit of a functionis afundamental concept in calculus and analysis concerning the behavior of that function near a particular input which may or may not be in the domain of the function.Formal defini…0.90text
these are series.A short way to write the limit lim xinstance ofAn important example of limits of sums0.80text
Limit of a functionrelated to historyAlthough0.60section
Limit of a functionrelated to historyBernard Bolzano0.60section
Limit of a functionrelated to historyHowever0.60section
Limit of a functionrelated to historyBruce Pourciau0.60section
Limit of a functionrelated to historyIsaac Newton0.60section
Limit of a functionrelated to historyPrincipia0.60section
Limit of a functionrelated to historyIn0.60section
Limit of a functionrelated to historyCours0.60section
Limit of a functionrelated to historyAugustin-Louis Cauchy0.60section
Limit of a functionrelated to historyGrabiner0.60section

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