RedAssign13[1].2 - Unit: Sequences and Series Module: Power...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Unit: Sequences and Series Module: Power Series Definition of Power Series Copyright 2001, Thinkwell Corp. All Rights Reserved. 1622 –rev 06/15/2001 The general form of a power series centered at x = c is = 0 () n n n axc , where a n is a sequence of numbers that only depend on n . All power series converge for x = c . If a power series converges for any other values of x , then it converges for all x -values on an interval of convergence centered at x = c . A power series is the infinite sum of successive powers of a given variable each accompanied by a coefficient. Power series are the generalization of Taylor and Maclaurin series.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online