Determine whether the following series converges or diverges. In the case of convergence, state whether the convergence is conditional or absolute. Which test should be used to test whether the given series converges? Test with a = The ∞ (-1)k Σ k=1 √k' +6 Find lim ak. k→∞ lim ak k→∞ Are the terms of the sequence 00 1 √k² +6 Yes No Does the series converge or diverge? nonincreasing?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether the following series converges or diverges. In the case of convergence, state whether the convergence is conditional or
absolute.
∞
(−1)k
k=1 √√k²
Σ
+6
Which test should be used to test whether the given series converges?
The
Find lim ak.
k→∞
lim ak
k→∞
=
Test with =
ak
Are the terms of the sequence
Yes
No
{}
+6
Does the series converge or diverge?
nonincreasing?
Transcribed Image Text:Determine whether the following series converges or diverges. In the case of convergence, state whether the convergence is conditional or absolute. ∞ (−1)k k=1 √√k² Σ +6 Which test should be used to test whether the given series converges? The Find lim ak. k→∞ lim ak k→∞ = Test with = ak Are the terms of the sequence Yes No {} +6 Does the series converge or diverge? nonincreasing?
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