Show that the following series diverges. Which condition of the Alternating Series Test is not satisfied? 1 2 3 4 k+1 + ...= =+=- 5 Σ 1-16-1 7 9 2k + 1 k=1 Let ak 20 represent the magnitude of the terms of the given series. Identify and describe ak Select the correct choice below and fill in any answer box in your choice. OA. ak= is an increasing function for all k. OB. ak = is a decreasing function for all k. OC. ak = and for any index N, there are some values of k> N for which ak+1 2 ak and some values of k>N for which ak + 1 Evaluate lim ak k→∞o lim ak = k→∞o Which condition of the Alternating Series Test is not satisfied? O A. The terms of the series are nonincreasing in magnitude and lim ak = 0. k→∞o O B. lim ak #0 k→∞o O C. The terms of the series are not nonincreasing in magnitude. Im ل ال
Show that the following series diverges. Which condition of the Alternating Series Test is not satisfied? 1 2 3 4 k+1 + ...= =+=- 5 Σ 1-16-1 7 9 2k + 1 k=1 Let ak 20 represent the magnitude of the terms of the given series. Identify and describe ak Select the correct choice below and fill in any answer box in your choice. OA. ak= is an increasing function for all k. OB. ak = is a decreasing function for all k. OC. ak = and for any index N, there are some values of k> N for which ak+1 2 ak and some values of k>N for which ak + 1 Evaluate lim ak k→∞o lim ak = k→∞o Which condition of the Alternating Series Test is not satisfied? O A. The terms of the series are nonincreasing in magnitude and lim ak = 0. k→∞o O B. lim ak #0 k→∞o O C. The terms of the series are not nonincreasing in magnitude. Im ل ال
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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Transcribed Image Text:Show that the following series diverges. Which condition of the Alternating Series Test is not satisfied?
1 2
3 4
k+1
+ ...=
=+=-
5
Σ 1-16-1
7
9
2k + 1
k=1
Let ak 20 represent the magnitude of the terms of the given series. Identify and describe ak
Select the correct choice below and fill in any answer box in your choice.
OA. ak=
is an increasing function for all k.
OB. ak =
is a decreasing function for all k.
OC. ak
=
and for any index N, there are some values of k>N for which ak+ 1 ≥ak and some values of k> N for which ak+1 ≤ak.
Evaluate lim ak
k→∞o
lim ak =
k→∞o
Which condition of the Alternating Series Test is not satisfied?
O A. The terms of the series are nonincreasing in magnitude and lim ak = 0.
k→∞o
O B.
lim ak #0
k→∞o
O C. The terms of the series are not nonincreasing in magnitude.
Im
ل ال
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