## Limit vs Infimum - What's the difference?
limit | infimum |
## As nouns the difference between is that |

## limit## English## Etymology 1From (etyl), from (etyl), from (etyl) .
## Noun(en noun)
*There are several existing***limits**to executive power.
*Two drinks is my***limit**tonight.
1839 , (Charles Dickens), Nicholas Nickleby , chapter 21: *It is the conductor which communicates to the inhabitants of regions beyond its***limit**,
1922 , , Ulysses , episode 17: *Ever he would wander, selfcompelled, to the extreme***limit**of his cometary orbit, beyond the fixed stars and variable suns and telescopic planets, astronomical waifs and strays, to the extreme boundary of space,
2012 March 6, Dan McCrum, Nicole Bullock and Guy Chazan, Financial Times , “Utility buyout loses power in shale gas revolution”: *At the time, there seemed to be no***limit**to the size of ever-larger private equity deals, with banks falling over each other to arrange financing on generous terms and to invest money from their own private equity arms.
*The sequence of reciprocals has zero as its limit.*
*Category theory defines a very general concept of limit.*
F'' : ''J'' → ''C'', a cone (''L'', ''φ'') from ''L'' ∈ Ob(''C'') to ''F'' is the ''limit'' of ''F'' if it has the universal property that for any other cone (''N'', ''ψ'') from ''N'' ∈ Ob(''C'') to ''F'' there is a unique morphism ''u'' : ''N'' → ''L'' such that for all ''X'' ∈ Ob(''J ), $\backslash phi\_X\; \backslash circ\; u\; =\; \backslash psi\_X$. *the***limit**of a walk, of a town, or of a country
*As eager of the chase, the maid / Beyond the forest's verdant***limits**strayed.
*The archdeacon hath divided it / Into three***limits**very equally.
*the dateless***limit**of thy dear exile
*The***limit**of your lives is out.
*I prithee, give no***limits**to my tongue.
## Synonyms* (restriction) bound, boundary, limitation, restriction
## Derived terms* age limit * central limit theorem * city limits * elastic limit * in the limit * limit down * limit up * limitation * limitless * lower limit * outer limit * the sky is the limit * to the limit * time limit * unlimited * upper limit## Descendants* German: (l)
## See also* bound * function## Adjective(-)
## Etymology 2From (etyl) ; see noun.
## Verb(en verb)
*[The Chinese government] has jailed environmental activists and is planning to***limit**the power of judicial oversight by handing a state-approved body a monopoly over bringing environmental lawsuits.
## Synonyms* (restrict) cap; restrict; withstrain
## External links* * * ---- |
## infimum## English## Noun(wikipedia infimum)
(en-noun)
of a subset ) the greatest element of the containing set that is smaller than or equal to all elements of the subset. The infimum may or may not be a member of the subset. ## Synonyms* greatest lower bound## Antonyms* supremum |