M8 k=1 сos лk Let ak > 0 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 = OB. ak = O C. = Evaluate lim ak- k→∞0 lim ak = k→∞ is nondecreasing in magnitude for k greater than some index N. 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. is nonincreasing in magnitude for k greater than some index N. Choose the correct answer below. (...) The series converges. The series diverges.

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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Determine whether the following series converges.

8
k=1 k
Let ak > 0 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.
A.
B.
cos лk
C.
ak
ak
=
ak =
k→∞
Evaluate lim ak.
k→∞
lim ak
sak.
is nondecreasing in magnitude for k greater than some index N.
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
is nonincreasing in magnitude for k greater than some index N.
=
Choose the correct answer below.
The series converges.
The series diverges.
Transcribed Image Text:8 k=1 k Let ak > 0 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. A. B. cos лk C. ak ak = ak = k→∞ Evaluate lim ak. k→∞ lim ak sak. is nondecreasing in magnitude for k greater than some index N. 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 is nonincreasing in magnitude for k greater than some index N. = Choose the correct answer below. The series converges. The series diverges.
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