POWER SERIES Definition:- A series of the form ao + alX + a~x2 + ... where ao , aI , a2, . .. are real numbers, is called a power series. The general form of a power series is ao + al(x - xo) + a2(x - XO)2 + ... where aO,al,a2, ... ,Xo E JR.. This is called a power series about the point Xo.