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
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf909276-6ad3-4144-b98c-235c5a32e436%2F962e79c2-1edc-451e-85ae-7e1062f07304%2Fh6di8fn_processed.jpeg&w=3840&q=75)
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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