- 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.
verb (used with object)
Origin of limit
Examples from the Web for limit
Environmentalists today generally prefer to limit roads and block new water projects, even in parched California.
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.
The sky is not the limit; beliefs still must be sincere and connected to some for-real source.
Like boxers, every missile has a reach, a range, a limit to how far it can hit.Pentagon Worries That Russia Can Now Outshoot U.S. Stealth Jets|Dave Majumdar|December 4, 2014|DAILY BEAST
To such a policy there was no limit in national conscience, any more than in his.The Evolution of States|J. M. Robertson
For her ears had been closed against the band, and she had forgotten the limit she had mentally put to her indecision.In the Wilderness|Robert Hichens
On the night of the dance he had barely kept within the limit of decent behavior.Lonesome Land|B. M. Bower
No limit: it is one of the affectations of architects to speak of overcharged ornament.The Seven Lamps of Architecture|John Ruskin
Seventy or seventy-five thousand dollars, besides your house and barn money, shall be my limit.The Fat of the Land|John Williams Streeter
British Dictionary definitions for limit
- 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 a n approaches arbitrarily close as n approaches infinity
- the limit of a sequence of partial sums of a convergent infinite seriesthe limit of 1 + ½ + ¼ + ⅛ + … is 2
- out of bounds
- forbidden to do or usesmoking was off limits everywhere
verb -its, -iting or -ited (tr)
Word Origin for limit
Medicine definitions for limit
Related formslim′it•a•ble adj.
Science definitions for limit
Idioms and Phrases with limit
see go whole hog (the limit); sky's the limit; the limit.