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limit

limit

43 7.4
The value a function or sequence gets close to as input changes
  • noun
  • /ˈlɪmɪt/
  • Specialized
translation icon : límite
  • To determine the limit of the sequence, we apply various mathematical techniques.
  • confidence limit
  • upper limit
  • 95% confidence limits

Here are some common function types where the limit does not exist.

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Examples

  • Contestants, please find the limit of this expression.

  • Here are some common function types where the limit does not exist.

  • So this is read as the limit of F of X.

  • What does it do in the limit where Z is large?

  • So now we have two equations where we know that the limit needs to exist.

  • Okay, we've reached the time limit on this, Walter.

  • You see, Sue, there's a limit to the speed at which air itself can move.

  • Future studies should attempt to confirm our results and investigate the limits of the reliability of couple-based reporting.

    Academic text (1999)
  • The traditional approach to tort reform involves imposing some limit on damages.

    Academic text (2011)
  • In calculus, we often analyze the limit of a function as it approaches infinity.

Synonyms

limit point
vslimit
  • Specialized
9.8

A value that a function gets closer to as the input goes to a point or to infinity

is the general mathematical value a function approaches as input nears some value
point of accumulation
vslimit
  • Specialized
9.9

A value that a function or sequence gets closer to as the input increases

is used more broadly for approach at infinity or toward any specific input

Antonyms

2 6.7

A movement away from a common point, like rivers branching from a main channel

Idioms

24 3.9

Do something as fully as possible

1 7.2

Use all your energy and take big risks to test your skill

Nothing limits what someone can achieve

Compounds

60 1.0

The fastest speed cars are allowed to drive on a road

35 2.7

A set time by which you must finish something

debt limit
  • Formal
18 3.9

The maximum amount a government can borrow by law

10 3.0

A rule that sets the youngest or oldest age allowed to do something

7 3.2

The highest allowed amount or value of something

lower limit
  • Specialized
1 3.5

The smallest amount or value that is allowed

giddy limit
  • Informal
1 9.9

A very strong feeling of excitement or dizziness

1 7.5

A line three miles from a country's coast that marks the sea it controls

2.8

The line that shows where a city or town ends

limit point
  • Specialized
9.8

A value that a function gets closer to as the input goes to a point or to infinity

5.6

The most money an insurance company will pay for a covered claim

stop-limit order
  • Specialized
8.4

An instruction that starts when a set price is reached and then trades only at a set price or better

Surface Forms

limit singular
limits plural

Etymology

Limit comes from the Latin limes, meaning 'edge' or 'boundary'. In math, a limit is the value a function moves toward as you get very close to a point, so it is like the number at the edge of the function's behavior.