**Infinitesimal**

A hypothetical number that is larger than zero but smaller than any positivereal number. Although the existence of such numbers makes no sense in the real number system, many worthwhile results can be obtained by overlooking this obstacle.

Note: Sometimes numbers that aren't really infinitesimals are called infinitesimals anyway. The word infinitesimal is occasionally used for tiny positive real numbers that are nearly equal to zero.

**See also**

Differential, infinity, infinite

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