without limit; boundless: limitless ambition; limitless space.

1575–85; limit + -less

limitlessly, adverb
limitlessness, noun

unbounded, measureless, unending, countless. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
limit (ˈlɪmɪt)
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.  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.  maths one of the two specified values between which a definite integral is evaluated
7.  informal the limit a person or thing that is intolerably exasperating
8.  off limits
 a.  out of bounds
 b.  forbidden to do or use: smoking was off limits everywhere
9.  within limits to a certain or limited extent: I approve of it within limits
vb , -its, -iting, -ited
10.  to restrict or confine, as to area, extent, time, etc
11.  law to agree, fix, or assign specifically
[C14: from Latin līmes boundary]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1580s, from limit + -less.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Because of the clever structuring of the financial instruments, the supply of
  lending capital was nearly limitless.
In their first hours underground, the darkness around them must have seemed
The global economy is now so large that society can no longer safely pretend it
  operates within a limitless ecosystem.
Solution: our model of limitless human population growth needs updating.
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