determine whether the following series diverges Σ ( - 1/1 ) ² K=0 let a so represent the magnitude of the terms of the given series. Identify and describe ak. A. a and for any index N, there are some values of k>N for which sak. Ja and some values of K&N for which ap а кто akti B: a = - is nonincreasing in magnitude for k greater than some index C. ax = _ is nondecreasing in magnitude for k greater than some - index N. Does this series converge or diverge? lim ak = ? K-∞
determine whether the following series diverges Σ ( - 1/1 ) ² K=0 let a so represent the magnitude of the terms of the given series. Identify and describe ak. A. a and for any index N, there are some values of k>N for which sak. Ja and some values of K&N for which ap а кто akti B: a = - is nonincreasing in magnitude for k greater than some index C. ax = _ is nondecreasing in magnitude for k greater than some - index N. Does this series converge or diverge? lim ak = ? K-∞
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Determine if the following series diverges, then select A, B, or C and fill in the blank. What is the limit & does this series diverge or converge?

Transcribed Image Text:determine
whether the following series diverges
{ (-1) ²
K=0
let a 0 represent the magnitude of the terms of the given series.
Identify and describe ak.
A. a =_ and for any index N, there are some values of K>N for which
Jak and some values of K&N for which akt, sak.
akti
B: a = - is nonincreasing in magnitude for k greater than some index
C. akis nondecreasing in magnitude for k greater than some
index N.
Does this series converge or diverge?
кута
lim ak = ?
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