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limit point

 - 4 dictionary results

accumulation point

–noun Mathematics.
a point such that every neighborhood of the point contains at least one point in a given set other than the given point.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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lim·it   (lĭm'ĭt)   
n.  
  1. The point, edge, or line beyond which something cannot or may not proceed.

  2. limits The boundary surrounding a specific area; bounds: within the city limits.

  3. A confining or restricting object, agent, or influence.

  4. The greatest or least amount, number, or extent allowed or possible: a withdrawal limit of $200; no minimum age limit.

  5. Games The largest amount which may be bet at one time in games of chance.

  6. Abbr. lim Mathematics A number or point L that is approached by a function f(x) as x approaches a if, for every positive number ε, there exists a number δ such that |f(x)-L| < ε if 0 < |x-a| < δ. Also called limit point, point of accumulation.

  7. Informal One that approaches or exceeds certain limits, as of credibility, forbearance, or acceptability: He is the limit of irresponsibility.

tr.v.   lim·it·ed, lim·it·ing, lim·its
  1. To confine or restrict within a boundary or bounds.

  2. To fix definitely; to specify.


[Middle English limite, from Old French, border, from Latin līmes, līmit-, border, limit.]
lim'it·a·ble adj.
Synonyms: These verbs mean to establish or keep within specified bounds. Limit refers principally to the establishment of a maximum beyond which a person or thing cannot or may not go: The Constitution limits the President's term of office to four years.
To restrict is to keep within prescribed limits, as of choice or action: The sale of alcoholic beverages is restricted to those over 21.
Confine suggests imprisonment, restraint, or impediment: The children were confined to the nursery.
Circumscribe connotes an encircling or surrounding line that confines, especially narrowly: "A man . . . should not circumscribe his activity by any inflexible fence of rigid rules" (John Stuart Blackie).
limit point  
n.  See limit.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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