V. Consider the power series Σ (-2x-1)" (5)²+n n=1 1. Show that the series obtained when x = 2 is conditionally convergent. (6 points) 2. If the radius of convergence is ½, find the interval of convergence of the power series. (2 points)

V. Consider the power series Σ (-2x-1)" (5)²+n n=1 1. Show that the series obtained when x = 2 is conditionally convergent. (6 points) 2. If the radius of convergence is ½, find the interval of convergence of the power series. (2 points)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

V. Consider the power series Σ
(-2x-1)"
(5)²+n
n=1
1. Show that the series obtained when x = 2 is conditionally convergent.
(6 points)
2. If the radius of convergence is ½, find the interval of convergence of the power series. (2 points)

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