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Extreme value theorem
In calculus, the extreme value theorem states that if a function f(x) is continuous in the closed interval [a,b] then f(x) must attain its maximum and minimum value, each at least once.
That is, there exist numbers c, and d within the interval [a, b] such that for every value of x in [a, b],
The extreme value theorem is used to prove Rolle's theorem.
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10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details