# infinity

## in·fin·i·ty

*noun*\in-ˈfi-nə-tē\

: the quality of having no limits or end : the quality of being infinite

: a space, amount, or period of time that has no limits or end

: a very great number or amount

*plural*

**in·fin·i·ties**

## Full Definition of *INFINITY*

*a*

**:**the quality of being infinite

*b*

**:**unlimited extent of time, space, or quantity

**:**boundlessness

**:**an indefinitely great number or amount <an

*infinity*of stars>

*a*

**:**the limit of the value of a function or variable when it tends to become numerically larger than any preassigned finite number

*b*

**:**a part of a geometric magnitude that lies beyond any part whose distance from a given reference position is finite <do parallel lines ever meet if they extend to

*infinity*>

*c*

**:**a transfinite number (as aleph-null)

**:**a distance so great that the rays of light from a point source at that distance may be regarded as parallel

## Examples of *INFINITY*

- The view tapers off into
*infinity*. - a series of numbers that continues to
*infinity* - The night sky was filled with an
*infinity*of stars.

## First Known Use of *INFINITY*

## Related to *INFINITY*

- Synonyms
- everlasting, foreverness, eternity, perpetuity

## Other Mathematics and Statistics Terms

## infinity

*noun*

*(Concise Encyclopedia)*

In mathematics, the useful concept of a process with no end. As represented by the symbol , it is often mistakenly thought to be the largest number or a place on the real number line. Instead, it is the idea of a limit, as in the expression *x* , which suggests that the variable *x* increases without bound. For example, the function *f*(*x*) = 1/*x*, or the reciprocal of *x*, tends toward 0 as *x* approaches infinity as a limit. This process of approaching is crucial to the definition of the derivative and the integral in calculus, as well as to many other concepts of mathematical analysis.

## Learn More About *INFINITY*

## Browse

Previous Word in the Dictionary: infinitude

All Words Near: infinity

**Ask The Editor** Videos

## Seen & Heard

What made you want to look up *infinity*? Please tell us where you read or heard it (including the quote, if possible).