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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.
*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.*

limit

/ ˈlɪmɪt /

## 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 limits**to 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

/ lĭm**′**ĭt /

- 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

**limit·a·ble**adjective**limit·a·ble·ness**noun**over·limit**verb (used with object)**re·limit**verb (used with object)**under·limit**noun**under·limit**verb (used with object)

## Word History and Origins

Origin of limit^{1}

*Middle English*

*lymyt,*from

*Latin*

*līmit-,*stem of

*līmes*“boundary, path between fields”

## Word History and Origins

Origin of limit^{1}

*līmes*boundary

## Idioms and Phrases

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

However, Texas maintains strict limits on who can vote by mail.

The reality is that SEO agencies have versatile profiles which support them in a particular market, but can become limits for other types of development.

Of all of the restrictions, the most impactful has been the off-limit “target area” – a precise locations that is off limits to individuals named on the gang injunction.

Moreover, for all the social neediness of others that Terry had bathed in, his sudden disclosures suggested his time for listening had reached a limit.

Chemical clues within these superdeep diamonds suggest that there’s a previously unknown limit to how deep Earth’s carbon cycle goes.

Environmentalists today generally prefer to limit roads and block new water projects, even in parched California.

This approach would greatly limit his appeal beyond the Northeast and the west coast.

The argument now is how to limit certain types of plays that banks can make under certain circumstances.

The foremost trendsetter of Scandi-sleek design and New Nordic food knows no limit to its progressive reputation.

Sadly, laws throughout the Middle East—from North Africa to the Gulf—limit the rights of religious minorities and non-believers.

The controlling center of consciousness is the extreme limit of the nares anteri.

They had been permitted to sit up till after the ice-cream, which naturally marked the limit of human indulgence.

Another way of learning such a series by rote, is to limit the extent of the repetitions.

There was no need of Lawrence signaling Dan to come on, for the squad were urging their horses to the limit.

McNeil, his force now augmented by Shaffer's, resolved to push Porter to the limit, and if possible bring him to battle.

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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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