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?
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?
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 A. Looking for help with B-D please
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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