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limit
[ lim-it ]
noun
- the final, utmost, or furthest boundary or point as to extent, amount, continuance, procedure, etc.: the limit of vision.
the limit of his experience;
the limit of vision.
- a boundary or bound, as of a country, area, or district.
Synonyms: , ,
- Mathematics.
- a number such that the value of a given function remains arbitrarily close to this number when the independent variable is sufficiently close to a specified point or is sufficiently large. The limit of 1/ x is zero as x approaches infinity; the limit of ( x − 1) 2 is zero as x approaches 1.
- a number such that the absolute value of the difference between terms of a given sequence and the number approaches zero as the index of the terms increases to infinity.
- one of two numbers affixed to the integration symbol for a definite integral, indicating the interval or region over which the integration is taking place and substituted in a primitive, if one exists, to evaluate the integral.
- limits, the premises or region enclosed within boundaries:
We found them on school limits after hours.
- Games. the maximum sum by which a bet may be raised at any one time.
- the limit, Informal. something or someone that exasperates, delights, etc., to an extreme degree:
You have made errors before, but this is the limit.
verb (used with object)
- to restrict by or as if by establishing limits (usually followed by to ):
Please limit answers to 25 words.
- to confine or keep within limits:
to limit expenditures.
Synonyms: ,
- Law. to fix or assign definitely or specifically.
limit
/ ˈɪɪ /
noun
- sometimes plural the ultimate extent, degree, or amount of something
the limit of endurance
- often plural the boundary or edge of a specific area
the city limits
- often plural the area of premises within specific boundaries
- the largest quantity or amount allowed
- maths
- a value to which a function f( x ) approaches as closely as desired as the independent variable approaches a specified value ( x = a) or approaches infinity
- a value to which a sequence an approaches arbitrarily close as n approaches infinity
- the limit of a sequence of partial sums of a convergent infinite series
the limit of 1 + ½ + ¼ + ⅛ + … is 2
- maths one of the two specified values between which a definite integral is evaluated
- the limit informal.a person or thing that is intolerably exasperating
- off limits
- out of bounds
- forbidden to do or use
smoking was off limits everywhere
- within limitsto a certain or limited extent
I approve of it within limits
verb
- to restrict or confine, as to area, extent, time, etc
- law to agree, fix, or assign specifically
limit
- A number or point for which, from a given set of numbers or points, one can choose an arbitrarily close number or point. For example, for the set of all real numbers greater than zero and less than one, the numbers one and zero are limit points, since one can pick a number from the set arbitrarily close to one or zero (even though one and zero are not themselves in the set). Limits form the basis for calculus , where a number L is defined to be the limit approached by a function f(x) as x approaches a if, for every positive number ε, there exists a number δ such that ‖ ()Ǥ ‖
Derived Forms
- ˈٱ, adverb
- ˈٲԱ, noun
- ˈٱԱ, noun
- ˈٲ, adjective
- ˈٱ, adjective
Other 51Թ Forms
- i·· adjective
- i···ness noun
- v·i verb (used with object)
- ·i verb (used with object)
- ܲd·i noun
- ܲd·i verb (used with object)
51Թ History and Origins
Origin of limit1
51Թ History and Origins
Origin of limit1
Idioms and Phrases
see go whole hog (the limit) ; sky's the limit ; the limit .Example Sentences
Efforts to restore these damaged landscapes and even to assess the long-term harm have been limited.
The government has defended its net-zero policies after Sir Tony Blair said limiting fossil fuels was "doomed to fail" and a new approach was needed.
Better preparation can limit the damage by making the country more resilient, but the CCC says this is not happening at anywhere near the required pace.
At least seven have been built here over the past two years, including one by a small dam that regulates Sergele's water supply, rendering it off limits to villagers.
He added: "With pressures on the replacement programme growing and with limited engineer availability, especially in rural areas, there's a real risk of prolonged disruption, particularly for vulnerable households."
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Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
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