 limit

—limitable, adj. —limitableness, n./lim"it/, n.1. the final, utmost, or furthest boundary or point as to extent, amount, continuance, procedure, etc.: the limit of his experience; the limit of vision.2. a boundary or bound, as of a country, area, or district.3. Math.a. 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.b. 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.c. 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.v.t.7. to restrict by or as if by establishing limits (usually fol. by to): Please limit answers to 25 words.8. to confine or keep within limits: to limit expenditures.9. Law. to fix or assign definitely or specifically.[132575; ME lymyt < L limit (s. of limes) boundary, path between fields]Syn. 2. confine, frontier, border. 8. restrain, bound.
* * *
IMathematical concept based on the idea of closeness, used mainly in studying the behaviour of functions close to values at which they are undefined.For example, the function 1/x is not defined at x = 0. For positive values of x, as x is chosen closer and closer to 0, the value of 1/x begins to grow rapidly, approaching infinity as a limit. This interplay of action and reaction as the independent variable moves closer to a given value is the essence of the idea of a limit. Limits provide the means of defining the derivative and integral of a function.II(as used in expressions)limited obligation bond* * *
mathematical concept based on the idea of closeness, used primarily to assign values to certain functions (function) at points where no values are defined, in such a way as to be consistent with nearby values. For example, the function (x^{2} − 1)/(x − 1) is not defined when x is 1, because division by zero is not a valid mathematical operation. For any other value of x, the numerator can be factored and divided by the (x − 1), giving x + 1. Thus, this quotient is equal to 2 for all values of x except 1, which has no value. However, 2 can be assigned to the function (x^{2} − 1)/(x − 1) not as its value when x equals 1 but as its limit when x approaches 1. See analysis: Continuity of functions (analysis).One way of defining the limit of a function f(x) at a point x_{0}, written asis by the following: if there is a continuous (continuity) (unbroken) function g(x) such that g(x) = f(x) in some interval around x_{0}, except possibly at x_{0} itself, thenThe following morebasic definition of limit, independent of the concept of continuity, can also be given:if, for any desired degree of closeness ε, one can find an interval around x_{0} so that all values of f(x) calculated here differ from L by an amount less than ε (i.e., if x − x_{0} < δ, then f (x) − L < ε). This last definition can be used to determine whether or not a given number is in fact a limit. The calculation of limits, especially of quotients, usually involves manipulations of the function so that it can be written in a form in which the limit is more obvious, as in the above example of (x^{2} − 1)/(x − 1).Limits are the method by which the derivative, or rate of change, of a function is calculated, and they are used throughout analysis as a way of making approximations into exact quantities, as when the area inside a curved region is defined to be the limit of approximations by rectangles.* * *
Universalium. 2010.
Look at other dictionaries:
Limit — Limit … Deutsch Wörterbuch
limit# — limit n Limit, bound, confine, end, term are comparable when they mean an actual or imaginary line beyond which a thing does not or cannot extend. Limit is the most inclusive of these terms because it carries no necessary implication of number,… … New Dictionary of Synonyms
Limit — Lim it (l[i^]m [i^]t), v. t. [imp. & p. p. {Limited}; p. pr. & vb. n. {Limiting}.] [F. limiter, L. limitare, fr. limes, limitis, limit; prob. akin to limen threshold, E. eliminate; cf. L. limus sidelong.] To apply a limit to, or set a limit for;… … The Collaborative International Dictionary of English
Limit — Lim it (l[i^]m [i^]t), n. [From L. limes, limitis: cf. F. limite; or from E. limit, v. See {Limit}, v. t.] 1. That which terminates, circumscribes, restrains, or confines; the bound, border, or edge; the utmost extent; as, the limit of a walk, of … The Collaborative International Dictionary of English
Limit — steht für eine Mengengrenze oder Betragsgrenze, siehe Grenzwert einen Begriff aus dem Pokerspiel, siehe Liste von Pokerbegriffen einen Orderzusatz einer Wertpapierorder in Form einer Kursober oder untergrenze, siehe Limitorder Limit… … Deutsch Wikipedia
limit — [lim′it] n. [OFr limite < L limes (gen. limitis), border, frontier] 1. the point, line, or edge where something ends or must end; boundary or border beyond which something ceases to be or to be possible 2. [pl.] bounds; boundary lines 3. the… … English World dictionary
limit — I noun ambit, border, bound, boundary, boundary line, circumscriptio, circumscription, extreme boundary final point, finis, fringe, frontier, furthest point, line of demarcation, outer edge, outer line, outer point, perimeter, rim, terminus,… … Law dictionary
Limit — Sn Grenze, Preisrahmen erw. fach. (20. Jh.) Entlehnung. Entlehnt aus ne. limit, dieses aus frz. limite f., aus l. līmes (limitis) m. Grenzlinie, Querweg, Rain . Schon früher aus dem Französischen entlehnt ist die verbale Ableitung limitieren.… … Etymologisches Wörterbuch der deutschen sprache
limit — lìmit m DEFINICIJA 1. ograničenje, granica 2. veličina ili vrijednost koja se ne smije prekoračiti [postaviti limit; dosegnuti limit] 3. ekon. bank. najviša cijena po kojoj se može kupiti ili prodati neki vrijednosni papir, deviza ili roba… … Hrvatski jezični portal
limit — {{/stl 13}}{{stl 8}}rz. mnż I, D. u, Mc. limiticie {{/stl 8}}{{stl 7}} nieprzekraczalna granica określająca ilość czegoś, np. kosztów, czasu, etatów, studentów : {{/stl 7}}{{stl 10}}Limit czasu. Przekroczyć limit pieniężny. Limit przyjęć na… … Langenscheidt Polski wyjaśnień
limit — ► NOUN 1) a point beyond which something does not or may not pass. 2) a restriction on the size or amount of something. 3) the furthest extent of one s endurance. ► VERB (limited, limiting) ▪ set or serve as a limit to. ● … English terms dictionary