In mathematics, a power series (in one variable) is an infinite series of the form

\displaystyle{ f(x) = \sum_{n=0}^\infty a_n \left( x-c \right)^n = a_0 + a_1 (x-c) + a_2 (x-c)^2 + a_3 (x-c)^3 + \cdots }

where a_n represents the coefficient of the nth term, c is a constant, and x varies around c (for this reason one sometimes speaks of the series as being centered at c). This series usually appears as the Taylor series of some known function; the Taylor series article contains many examples.