Determine whether the following series converges. Σ (-1)*k sin k=1 Let a > 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 = and for any index N, there are some values of k> N for which ak +1 2ax and some values of k>N for which ak + 1 sak. OB. ak= is nonincreasing in magnitude for k greater than some index N. OC. ak = is nondecreasing in magnitude for k greater than some index N.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the following series converges.
Σ (-1)ksin -
k=1
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.
O A.
ak =
and for any index N, there are some values of k > N for
which ak + 1 Zak and some values of k > N for which ak + 1 sak.
B.
ak = is nonincreasing in magnitude for k greater than some
index N.
O C.
is nondecreasing in magnitude for k greater than some
ak =
index N.
Transcribed Image Text:Determine whether the following series converges. Σ (-1)ksin - k=1 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. O A. ak = and for any index N, there are some values of k > N for which ak + 1 Zak and some values of k > N for which ak + 1 sak. B. ak = is nonincreasing in magnitude for k greater than some index N. O C. is nondecreasing in magnitude for k greater than some ak = index N.
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