Consider the series 00 (-1)" n=1 Use the drop-down menus to complete the following statement. 00 00 1 First, is a p-series with p = Vn and therefore n=1 00 (-1)" As a result, the series Vn n=1 (-1)" Now, is an alternating series with b, = Vn So, since (i) b, > 0, (ii) bn+1 bn for all n and lim b, = Vn n=| n-00 00 by the Alternating Series Test, the series (-1)" n=1 (-1)" As a result, the series) Vn n=1

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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Consider the series
(-1)"
Vn
n=1
Use the drop-down menus to complete the following statement.
(-1)"
First, 2
Vn
1
is a p-series with p =
and therefore
Vn
n=1
(-1)"
As a result, the series
n=1
(-1)"
Now, >
Vn
is an alternating series with bn
So, since (i) bn > 0, (ii) bn+1s bn for all n and lim b,
Vn
%3D
n=1
by the Alternating Series Test, the series>.
(-1)"
n=1
(-1)"
As a result, the series
Vn
n=1
Transcribed Image Text:Consider the series (-1)" Vn n=1 Use the drop-down menus to complete the following statement. (-1)" First, 2 Vn 1 is a p-series with p = and therefore Vn n=1 (-1)" As a result, the series n=1 (-1)" Now, > Vn is an alternating series with bn So, since (i) bn > 0, (ii) bn+1s bn for all n and lim b, Vn %3D n=1 by the Alternating Series Test, the series>. (-1)" n=1 (-1)" As a result, the series Vn n=1
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