limit, bound, boundary (noun)

the greatest possible degree of something

"what he did was beyond the bounds of acceptable behavior"; "to the limit of his ability"

terminus ad quem, terminal point, limit (noun)

final or latest limiting point

limit (noun)

as far as something can go

limit, demarcation, demarcation line (noun)

the boundary of a specific area

limit, limit point, point of accumulation (noun)

the mathematical value toward which a function goes as the independent variable approaches infinity

limit, limitation (verb)

the greatest amount of something that is possible or allowed

"there are limits on the amount you can bet"; "it is growing rapidly with no limitation in sight"

restrict, restrain, trammel, limit, bound, confine, throttle (verb)

place limits on (extent or access)

"restrict the use of this parking lot"; "limit the time you can spend with your friends"

limit, circumscribe, confine (verb)

restrict or confine, "I limit you to two visits to the pub a day"

specify, set, determine, define, fix, limit (verb)

decide upon or fix definitely

"fix the variables"; "specify the parameters"

Limit

In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches some value. Limits are essential to calculus and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. In formulas, limit is usually abbreviated as lim as in lim = a, and the fact of approaching a limit is represented by the right arrow as in an → a.