## 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)

### limit

#### Noun

1. A restriction; a bound beyond which one may not go.
There are several existing limits to executive power.
Two drinks is my limit tonight.
2. 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.
3. Any of several abstractions of this concept of limit.
Category theory defines a very general concept of limit.
4. Given diagram F : JC, 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 : NL such that for all X ∈ Ob(J), $\phi_X \circ u = \psi_X$.
5. Short for fixed limit.
6. The final, utmost, or furthest point; the border or edge.
the limit of a walk, of a town, or of a country
7. The space or thing defined by limits.
8. That which terminates a period of time; hence, the period itself; the full time or extent.
9. A restriction; a check or curb; a hindrance.
10. A determining feature; a distinguishing characteristic.

#### Verb

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