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limits

limits


lim·it  (lmt)
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 , there exists a number such that f(x)-L < if 0 < x-a < . 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 lmes, lmit-, border, limit.]

limit·a·ble adj.
Synonyms: limit, restrict, confine, circumscribe
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 Presidents 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 [ˈlɪmɪt]
n
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. (Mathematics) Maths
a.  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
b.  a value to which a sequence an approaches arbitrarily close as n approaches infinity
c.  the limit of a sequence of partial sums of a convergent infinite series the limit of 1 + ½ + ¼ + ⅛ + … is 2
6. (Mathematics) 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
a.  out of bounds
b.  forbidden to do or use smoking was off limits everywhere
within limits to a certain or limited extent I approve of it within limits
vb (tr) -its, -iting, -ited
1. to restrict or confine, as to area, extent, time, etc.
2. (Law) Law to agree, fix, or assign specifically
[from Latin līmes boundary]
limitable  adj
limitableness  n
limitless  adj
limitlessly  adv
limitlessness  n

limit  (lmt)
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 , there exists a number such that f(x)-L < if 0 < x-a < .
limits

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