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 isa_nis the limit asNapproaches infinity of the greatest lower bound of the termsa_nfor 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.

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