# How to use *Infinite-series* in a sentence

The process is conceived as an

**infinite series**of variations or specifications of one primitive and common type.His development of the equation x m +- px = q in an

**infinite series**was extended by Leonhard Euler, and particularly by Joseph Louis Lagrange.A continued product of this kind can, by taking logarithms, be replaced by an

**infinite series**.The introduction of

**infinite series**into mathematics effected a great change in the modes of calculation and the treatment of the subject.Besides all this, however, and far beyond it in importance, was his use of

**infinite series**.AdvertisementIn this case the variation will be simply periodic, The value of any element of the planet's motion will generally be represented by the sum of an

**infinite series**of such periodic quantities, having different periods.The expressions for the longitude, latitude `and parallax appear as an infinite trigonometric series, in which the coefficients of the sines and cosines are themselves

**infinite series**proceeding according to the powers of the above small numbers.This paper offers a glimpse of how Euler used infinitesimals and

**infinite series**to compute differentials for the elementary functions.