- 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
Synonyms for limit
Related Words for limitrestriction, ceiling, restraint, cap, maximum, curb, deadline, check, hinder, inhibit, set, bar, lessen, reduce, narrow, specify, define, verge, fence, bound
Examples from the Web for limit
Contemporary Examples of limit
Environmentalists today generally prefer to limit roads and block new water projects, even in parched California.Time to Bring Back the Truman Democrats
December 21, 2014
The argument now is how to limit certain types of plays that banks can make under certain circumstances.How Naive is Elizabeth Warren?
December 18, 2014
The foremost trendsetter of Scandi-sleek design and New Nordic food knows no limit to its progressive reputation.The Ultimate LGBT Travel Bucket List
December 12, 2014
The sky is not the limit; beliefs still must be sincere and connected to some for-real source.In Florida, ’Tis The Season for Satan
December 7, 2014
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
December 4, 2014
Historical Examples of limit
Do this up to the limit of your capital and I will make good anything you lose.
They're negotiating now with the Rothschilds to limit the output of the Rio Tinto mines.
There is no limit to the moral baseness of the man of avarice.
As much money as they would pay me was the limit of my expectation.The Conquest of Fear
It was in fact a little way beyond what she had come to count her limit.Weighed and Wanting
- 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
c.1400, "boundary, frontier," from Old French limite "a boundary," from Latin limitem (nominative limes) "a boundary, limit, border, embankment between fields," related to limen "threshold." Originally of territory; general sense from early 15c. Colloquial sense of "the very extreme, the greatest degree imaginable" is from 1904.
see go whole hog (the limit); sky's the limit; the limit.