Consider the series Answer: L = n=1 (-1)" 7² Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". V lim nx an+1 an = L What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Divergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Divergent

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the series
Answer: L =
n=1
(-1)"
n²
Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE".
V
lim
nx
an+1
an
- L
What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive".
Answer: Divergent
Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent",
"Conditionally Convergent", or "Divergent".
Answer: Divergent
Transcribed Image Text:Consider the series Answer: L = n=1 (-1)" n² Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". V lim nx an+1 an - L What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Divergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Divergent
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