Limit of a function
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x. We say the function has a limit L at an input p: this means f(x) gets closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. On the other hand, if some inputs very close to p are taken to outputs that stay a fixed distance apart, we say the limit does not exist.
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Limit of a function
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x. We say the function has a limit L at an input p: this means f(x) gets closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. On the other hand, if some inputs very close to p are taken to outputs that stay a fixed distance apart, we say the limit does not exist.
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El límite de una función es un ...... e adquiere f en dicho punto c.
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Em matemática, o limite de uma ...... século XIX, são dadas abaixo.
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Granica funkcji – wartość, do ...... raz Heinricha Eduarda Heinego.
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In der Mathematik bezeichnet d ...... tigsten Konzepte der Analysis.
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In matematica, il limite di un ...... unti in uno spazio topologico.
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In mathematics, the limit of a ...... es to the graph of a function.
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La notion de limite est très i ...... érer à Limite (mathématiques).
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Преде́л фу́нкции (предельное з ...... нятий математического анализа.
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تعتبر نهاية دالة إحدى المفاهيم ...... يمة صغيرة "ε>0 "ε حيث f-L|<ε|.
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在數學中，函數極限是微積分學和數學分析的一個基本概念。它描述 ...... 途良多。比如，連續性的定義。除此之外，它還被用於導數的定義。
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El límite de una función es un ...... e adquiere f en dicho punto c.
@es
Em matemática, o limite de uma ...... diferentes, o limite é dito nã
@pt
Granica funkcji – wartość, do ...... raz Heinricha Eduarda Heinego.
@pl
In der Mathematik bezeichnet d ...... tigsten Konzepte der Analysis.
@de
In matematica, il limite di un ...... ò essere finito (), infinito (
@it
In mathematics, the limit of a ...... say the limit does not exist.
@en
La notion de limite est très i ...... érer à Limite (mathématiques).
@fr
Преде́л фу́нкции (предельное з ...... нятий математического анализа.
@ru
تعتبر نهاية دالة إحدى المفاهيم ...... يمة صغيرة "ε>0 "ε حيث f-L|<ε|.
@ar
在數學中，函數極限是微積分學和數學分析的一個基本概念。它描述 ...... 途良多。比如，連續性的定義。除此之外，它還被用於導數的定義。
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label
Granica funkcji
@pl
Grenzwert (Funktion)
@de
Limit of a function
@en
Limite (mathématiques élémentaires)
@fr
Limite de uma função
@pt
Limite di una funzione
@it
Límite de una función
@es
Предел функции
@ru
نهاية دالة
@ar
函數極限
@zh