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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.

Informally, a function f assigns an output f(x) to every input x. The function has a limit L at an input p if f(x) is "close" to L whenever x is "close" to p. In other words, f(x) becomes closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to each input sufficiently close to p, the result is an output value that is arbitrarily close to L. If the inputs "close" to p are taken to values that are very different, the limit is said to not exist. Wikipedia - Limit of a Function (external link)

See Also

Calculus
Continuity
fundamental theorem of calculus
Stokes Theorem


Page last modified on Thursday 07 of July, 2011 04:41:02 MDT

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