(a) What is the radius of convergence of a power series? How do you find it? if the series converges for all x, or The radius of convergence is --Select--- ---Select--- v if the series converges only when x = a, ---Select--- v such that the series converges if |x – al < R and diverges if |x – al > R. (b) What is the interval of convergence of a power series? How do you find it? The interval of convergence of a power series is the interval that consists of ---Select--- v for which the series converges. We must test the series for convergence at the single point a, all real numbers, or an interval with endpoints a - R and a + R which can contain neither, either, or both of the endpoints. In this v at each endpoint to determine the interval of convergence. case, we must test the series for ---Select---

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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(a) What is the radius of convergence of a power series? How do you find it?
The radius of convergence is ---Select---
|---Select---
if the series converges only when x = a, ---Select---
if the series converges for all x, or
v such that the series converges if |x - al < R and diverges if |x – a| > R.
(b) What is the interval of convergence of a power series? How do you find it?
The interval of convergence of a power series is the interval that consists of --Select---
convergence at the single point a, all real numbers, or an interval with endpoints a - R and a + R which can contain neither, either, or both of the endpoints. In this
case, we must test the series for ---Select---
v for which the series converges. We must test the series for
at each endpoint to determine the interval of convergence.
Transcribed Image Text:(a) What is the radius of convergence of a power series? How do you find it? The radius of convergence is ---Select--- |---Select--- if the series converges only when x = a, ---Select--- if the series converges for all x, or v such that the series converges if |x - al < R and diverges if |x – a| > R. (b) What is the interval of convergence of a power series? How do you find it? The interval of convergence of a power series is the interval that consists of --Select--- convergence at the single point a, all real numbers, or an interval with endpoints a - R and a + R which can contain neither, either, or both of the endpoints. In this case, we must test the series for ---Select--- v for which the series converges. We must test the series for at each endpoint to determine the interval of convergence.
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