8 Σ(-1)*+2 k=4 converges or diverges. k² √5 +19 We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.
8 Σ(-1)*+2 k=4 converges or diverges. k² √5 +19 We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series:
Σ (-1)+2
k=4
converges or diverges.
We can conclude that:
k²
√5 + 19
O The Alternating Series Test does not apply because the absolute value of the terms are not
decreasing.
O The Alternating Series Test does not apply because the absolute value of the terms do not
approach 0, and the series diverges for the same reason.
O The series diverges by the Alternating Series Test.
O The Alternating Series Test does not apply because the terms of the series do not alternate.
O The series converges by the Alternating Series Test.
Transcribed Image Text:For the series below calculate the sum of the first 4 terms, S4, and find a bound for the error.
Include several decimals for accuracy when the problem is graded.
8
n=1
S4= =
(-1)" 200
n0.8
error ≤
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