Question 5 Use the appropriate test to determine convergence or divergence of the following series. For any convergent series that are alternating: do they converge absolutely, or do they converge conditionally? Explain how you know. For each part your explanation should include: i. The name of the test you are using to decide about convergence or divergence ii. Be sure to explain why any tests you use apply. iii. Show all the steps and explanation for each test. k k(k+1) a. b. C. ∞ Σ(-1)*, k=1 8WI 8WI Σ ek (k − 4)!
Question 5 Use the appropriate test to determine convergence or divergence of the following series. For any convergent series that are alternating: do they converge absolutely, or do they converge conditionally? Explain how you know. For each part your explanation should include: i. The name of the test you are using to decide about convergence or divergence ii. Be sure to explain why any tests you use apply. iii. Show all the steps and explanation for each test. k k(k+1) a. b. C. ∞ Σ(-1)*, k=1 8WI 8WI Σ ek (k − 4)!
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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Transcribed Image Text:Question 5
Use the appropriate test to determine convergence or divergence of the following series. For
any convergent series that are alternating: do they converge absolutely, or do they converge
conditionally? Explain how you know. For each part your explanation should include:
i. The name of the test you are using to decide about convergence or divergence
ii. Be sure to explain why any tests you use apply.
iii. Show all the steps and explanation for each test.
k
k(k + 1)
a.
b.
C.
Σ(-1)*
k=1
8 WI WI
ek
(k − 4)!
1
2k
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