limit

[ lim-it ]

noun

1. 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.

2. a boundary or bound, as of a country, area, or district.

   Synonyms: border, frontier, confines

3. Mathematics.
   1. 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.
   2. 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.
   3. 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.
4. limits, the premises or region enclosed within boundaries:

   We found them on school limits after hours.

5. Games. the maximum sum by which a bet may be raised at any one time.
6. 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)

1. to restrict by or as if by establishing limits (usually followed by to ):

   Please limit answers to 25 words.

2. to confine or keep within limits:

   to limit expenditures.

   Synonyms: bound, restrain

3. Law. to fix or assign definitely or specifically.

limit

/ ˈlɪmɪt /

noun

1. sometimes plural the ultimate extent, degree, or amount of something

   the limit of endurance

2. often plural the boundary or edge of a specific area

   the city limits

3. often plural the area of premises within specific boundaries
4. the largest quantity or amount allowed
5. maths
   1. 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
   2. a value to which a sequence an approaches arbitrarily close as n approaches infinity
   3. the limit of a sequence of partial sums of a convergent infinite series

      the limit of 1 + ½ + ¼ + ⅛ + … is 2

6. maths one of the two specified values between which a definite integral is evaluated
7. the limit informal.
   a person or thing that is intolerably exasperating
8. off limits
   1. out of bounds
   2. forbidden to do or use

      smoking was off limits everywhere

9. within limits
   to a certain or limited extent

   I approve of it within limits

verb

1. to restrict or confine, as to area, extent, time, etc
2. law to agree, fix, or assign specifically

limit

/ lĭm′ĭt /

1. 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 ‖ f(x)−L ‖

Derived Forms

• ˈlimitlessly, adverb
• ˈlimitableness, noun
• ˈlimitlessness, noun
• ˈlimitable, adjective
• ˈlimitless, adjective

Other Words From

• limit·a·ble adjective
• limit·a·ble·ness noun
• over·limit verb (used with object)
• re·limit verb (used with object)
• under·limit noun
• under·limit verb (used with object)

Word History and Origins

Origin of limit¹

First recorded in 1325–75; Middle English lymyt, from Latin līmit-, stem of līmes “boundary, path between fields”

Word History and Origins

Origin of limit¹

C14: from Latin līmes boundary

Idioms and Phrases

see go whole hog (the limit) ; sky's the limit ; the limit .

Example Sentences

Deltas in low- and middle-income countries additionally struggle with rapid urbanisation and limited resources.

From Science Daily

The limit was set in 2004, years before streaming video started eating away at traditional TV’s audience share.

From Los Angeles Times

The veterans and their lawyers have proposed the government launches a limited tribunal to establish whether documents were hidden, as an alternative to legal action.

From BBC

Once diagnosed, treatment options are limited to Botox injections every three-to-four months for life, if effective.

From Science Daily

To assess the long-term risk of consuming GenX-contaminated produce in impacted communities, researchers also calculated the chronic-exposure daily limit, which is the maximum amount of produce that an individual could safely consume daily.

From Science Daily

Related Words

• bar
• curb
• define
• hinder
• inhibit
• lessen
• narrow
• reduce
• set
• specify