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limit inferior |
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limit inferior [′lim·ət in¦fir·ē·ər] (mathematics) Also known as lower limit. The limit inferior of a sequence whosenth term isanis the limit asNapproaches infinity of the greatest lower bound of the termsanfor whichnis greater thanN; denoted by The limit inferior of a function ƒ at a pointcis the limit as ε approaches zero of the greatest lower bound of ƒ(x) for |x-c| < ε andx≠c;denoted by For a sequence of sets, the set consisting of all elements that belong to all but a finite number of the sets in the sequence. Also known as restricted limit. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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