limit

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:

border, frontier, confines

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.

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.

Informal. the limit, something or someone that exasperates, delights, etc., to an extreme degree.

You have made errors before, but this is the limit.

(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

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

maths one of the two specified values between which a definite integral is evaluated

informal a person or thing that is intolerably exasperating

1. out of bounds

2. forbidden to do or use

   smoking was off limits everywhere

to a certain or limited extent

I approve of it within limits