## LIMIT

### 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 above text is a snippet from Wikipedia: Limit (mathematics)*

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### limit

#### Noun

- A restriction; a bound beyond which one may not go.
*There are several existing***limits**to executive power.*Two drinks is my***limit**tonight.

- A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge).
*The sequence of reciprocals has zero as its limit.*

- Any of several abstractions of this concept of limit.
*Category theory defines a very general concept of limit.*

- Given diagram
*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*), <math> \phi_X \circ u = \psi_X </math>. - Short for fixed limit.
- The final, utmost, or furthest point; the border or edge.
*the***limit**of a walk, of a town, or of a country

- The space or thing defined by limits.
- That which terminates a period of time; hence, the period itself; the full time or extent.
- A restriction; a check or curb; a hindrance.
- A determining feature; a distinguishing characteristic.

#### Verb

- To restrict; not to allow to go beyond a certain bound.
- To have a limit in a particular set.
- To beg, or to exercise functions, within a certain limited region.

#### Adjective

- Being a fixed limit game.

*The above text is a snippet from Wiktionary: limit*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.