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1. We're going to use the Ratio Test to figure out whether the series An= (a) First, write expressions for the nth and (n+1)st terms of this sum: an+1 = (b) Now write the ratio |an+1| lanl n=1 and simplify it as much as possible. n-(-1)" 2n converges or div

1. We're going to use the Ratio Test to figure out whether the series An= (a) First, write expressions for the nth and (n+1)st terms of this sum: an+1 = (b) Now write the ratio |an+1| lanl n=1 and simplify it as much as possible. n-(-1)" 2n converges or div

Calculus: Early Transcendentals
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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I already solved for A: I got an = -1/2 and an+1 = 1/2. I need help with B-D please

1. We're going to use the Ratio Test to figure out whether the series (a) First, write expressions for the nth and (n+1)st terms of this sum: An= an+1 = (b) Now write the ratio When simplified, lan+1| lan lan+1| an = and simplify it as much as possible. lan+1| n+∞0 |an| (c) Now, write the limit lim n=1 n-(-1)" 2n converges or diverges. and evaluate this limit. We'll call this result L. (d) Is L less than, equal to, or greater than one? What does this tell us about the series?
Transcribed Image Text:1. We're going to use the Ratio Test to figure out whether the series (a) First, write expressions for the nth and (n+1)st terms of this sum: An= an+1 = (b) Now write the ratio When simplified, lan+1| lan lan+1| an = and simplify it as much as possible. lan+1| n+∞0 |an| (c) Now, write the limit lim n=1 n-(-1)" 2n converges or diverges. and evaluate this limit. We'll call this result L. (d) Is L less than, equal to, or greater than one? What does this tell us about the series?
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