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mathematical analysis > calculus > limit of a function

Terme préférentiel

limit of a function  

Définition

  • 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 that the function has a limit L at an input p, if 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, then we say the limit does not exist.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Limit_of_a_function)

Concept générique

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http://data.loterre.fr/ark:/67375/PSR-N06DS5VX-D

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