Limits - Research Article from World of Mathematics

This encyclopedia article consists of approximately 2 pages of information about Limits.
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The limit of a function or a sequence in mathematics is the number the function or sequence approaches as the independent variable (x) approaches a particular number. The definition is as follows: If f(x) becomes arbitrarily close to a unique number L as x approaches c from either side, the limit of f(x) as x approaches c is L. This is often expressed lim x c f(x) = L.

There are three major areas where the limit of a function or sequence does not exist. In order for a function or sequence to have a limit, the function or sequence must be approaching the said value of the function or sequence from the left and right sides of x. Left and right hand behavior must agree. If it does not, the function does not have a limit. The behavior of the function or sequence cannot approach positive...

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This section contains 501 words
(approx. 2 pages at 300 words per page)
Buy the Limits Encyclopedia Article
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World of Mathematics
Limits from World of Mathematics. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.
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