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Limit (mathematics)
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Revision as of 18:32, August 1, 2008
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18:32, August 1, 2008
The "Limit of a Function" part is barely intelligible , IMO
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The concept of the limit is a cornerstone of the mathematical branch of [[analysis]].
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==Limit of a Sequence==
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Let <math>(a_n)_{n\in N} = (a_1, a_2, a_3, ...)</math> be a [[sequence]] of real numbers. We say that this sequence has a limit <math>a</math>, i.e.,
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<math>
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\lim_{n\to \infty} = a,
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</math>
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if for any <math>\epsilon > 0</math>, there exists a number <math>N</math>, such that
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<math>
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|a_n - a| < \epsilon</math> for every <math>n > N</math>.
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==Limit of a Function==
Let <math>f(x)</math> be a real valued [[function]] in one [[variable]]. We say that
Let <math>f(x)</math> be a real valued [[function]] in one [[variable]]. We say that
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