  # Infinitesimal vs. Infinity: What's the Difference? ## Infinitesimal and Infinity Definitions

#### Infinitesimal

Immeasurably or incalculably minute.

#### Infinity

The quality or condition of being infinite.

#### Infinitesimal

(Mathematics) Capable of having values approaching zero as a limit.

#### Infinity

Unbounded space, time, or quantity.

#### Infinitesimal

An immeasurably or incalculably minute amount or quantity.

#### Infinity

An indefinitely large number or amount.

#### Infinitesimal

(Mathematics) A function or variable continuously approaching zero as a limit.

#### Infinity

(Mathematics) The limit that a function  is said to approach at x = a when (x) is larger than any preassigned number for all x sufficiently near a.

#### Infinitesimal

Incalculably, exceedingly, or immeasurably minute; vanishingly small.
Do you ever get the feeling that you are but an infinitesimal speck, swallowed by the vastness of the universe and beyond?

#### Infinity

A range in relation to an optical system, such as a camera lens, representing distances great enough that light rays reflected from objects within the range may be regarded as parallel.

#### Infinitesimal

(mathematics) Of or pertaining to values that approach zero as a limit.

#### Infinity

A distance setting, as on a camera, beyond which the entire field is in focus.

#### Infinitesimal

(informal) Very small.

#### Infinity

(uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.

#### Infinitesimal

(mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).

#### Infinity

A number that has an infinite numerical value that cannot be counted.

#### Infinitesimal

Infinitely or indefinitely small; less than any assignable quantity or value; very small.

#### Infinity

An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.

#### Infinitesimal

An infinitely small quantity; that which is less than any assignable quantity.

#### Infinity

(uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.

#### Infinitesimal

Infinitely or immeasurably small;
Two minute whiplike threads of protoplasm
Reduced to a microscopic scale

#### Infinity

The symbol ∞. Category:en:Infinity

#### Infinity

Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
There can not be more infinities than one; for one of them would limit the other.

#### Infinity

Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.

#### Infinity

Endless or indefinite number; great multitude; as an infinity of beauties.

#### Infinity

A quantity greater than any assignable quantity of the same kind.

#### Infinity

That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.

Time without end