¹ *Source: wiktionary.com*

### Definition of Infinities

**1.** infinity [n] - See also: infinity

### Lexicographical Neighbors of Infinities

### Literary usage of Infinities

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *Theory of Functions of a Complex Variable* by Andrew Russell Forsyth (1893)

"Hence, from arbitrary constants in U. respective points, and consequently there
will be Such **infinities** are to be excluded ; and therefore , must vanish, ..."**2.** *A Treatise on Infinitesimal Calculus: Containing Differential and Integral* by Bartholomew Price (1857)

"THEOREM I.—**infinities** and infinitesimals, like finite quantities, admit of being
... Thus x* and 2x2 are **infinities** of the same order, and i and — are ..."**3.** *On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement* by Felix Klein (1893)

"**infinities** of higher Order derived from those of lower Order. The foregoing
sections have enabled us to picture to ourselves the whole course of such ..."**4.** *Lectures on the Theory of Functions of Real Variables* by James Pierpont (1906)

"816 INDETERMINATE FORMS Order of Infinitesimals and **infinities** 485. 1. ... 8.
Obviously, similar remarks hold for **infinities**. ..."**5.** *Abel's Theorem and the Allied Theory: Including the Theory of the Theta* by Henry Frederick Baker (1897)

"THE **infinities** OF RATIONAL UNIFORM FUNCTIONS. 23. ... We deal first of all with
the case in which these **infinities** are all of the first order. ..."**6.** *Analytic Geometry, a First Course* by William Henry Maltbie (1906)

"APPENDIX A. **infinities** OF VARIOUS ORDERS. The student must bear in mind the fact
that he is using the word infinity in a technical sense differing somewhat ..."