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Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 Σ (-1)*+1% Σ ak = k=1 k=1 k→∞ Find lim ak. Select the correct choice below and, if necessary, fill in (-1)k 2 7 OA. lim ak k→∞ k the answer box to complete your choice. Now, let Zak denote Σ k=1 B. The limit does not exist. (-1)^ 7 k result using the Divergence Test? What can be concluded from this

Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 Σ (-1)*+1% Σ ak = k=1 k=1 k→∞ Find lim ak. Select the correct choice below and, if necessary, fill in (-1)k 2 7 OA. lim ak k→∞ k the answer box to complete your choice. Now, let Zak denote Σ k=1 B. The limit does not exist. (-1)^ 7 k result using the Divergence Test? What can be concluded from this

Advanced Engineering Mathematics
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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Subject: calculus 

 

 

Determine whether the following series converges absolutely, converges conditionally, or diverges. ∞0 Σ(-1)+1 Σ ak = k=1 k=1 k→∞0 Find lim ak. Select the correct choice below and, if necessary, fill in OA. lim ak k→∞ (-1)k 2 7 the answer box to complete your choice. k Now, let Zak denote B. The limit does not exist. k=1 (−1)k 7 k result using the Divergence Test? What can be concluded from this A. The series Σ |ak| must converge. OB. The series Σak must converge. OC. The series Σak must diverge. OD. The series Σ |ak| must diverge. O E. The Divergence Test is inconclusive.
Transcribed Image Text:Determine whether the following series converges absolutely, converges conditionally, or diverges. ∞0 Σ(-1)+1 Σ ak = k=1 k=1 k→∞0 Find lim ak. Select the correct choice below and, if necessary, fill in OA. lim ak k→∞ (-1)k 2 7 the answer box to complete your choice. k Now, let Zak denote B. The limit does not exist. k=1 (−1)k 7 k result using the Divergence Test? What can be concluded from this A. The series Σ |ak| must converge. OB. The series Σak must converge. OC. The series Σak must diverge. OD. The series Σ |ak| must diverge. O E. The Divergence Test is inconclusive.
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