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.
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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.
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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).
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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.
Infinity
Time without end