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Use the alternating series test to determine whether the series n5 √n¹2 +4 ∞ Σ (-1)+2 n=1 converges or diverges. O The series diverges by the alternating series test. O The series converges by the alternating series test. O The alternating series test does not apply because the terms of the series do not alternate. O The alternating series test does not apply because the absolute value of the terms do not approach 0, but the series diverges by the divergence test (nth term test). O The alternating series test does not apply because the absolute value of the terms are not decreasing.

Use the alternating series test to determine whether the series n5 √n¹2 +4 ∞ Σ (-1)+2 n=1 converges or diverges. O The series diverges by the alternating series test. O The series converges by the alternating series test. O The alternating series test does not apply because the terms of the series do not alternate. O The alternating series test does not apply because the absolute value of the terms do not approach 0, but the series diverges by the divergence test (nth term test). O The alternating series test does not apply because the absolute value of the terms are not decreasing.

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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Use the alternating series test to determine whether the series n5 √n¹2 +4 ∞ Σ (-1)+2 n=1 converges or diverges. O The series diverges by the alternating series test. O The series converges by the alternating series test. O The alternating series test does not apply because the terms of the series do not alternate. O The alternating series test does not apply because the absolute value of the terms do not approach 0, but the series diverges by the divergence test (nth term test). O The alternating series test does not apply because the absolute value of the terms are not decreasing.
Transcribed Image Text:Use the alternating series test to determine whether the series n5 √n¹2 +4 ∞ Σ (-1)+2 n=1 converges or diverges. O The series diverges by the alternating series test. O The series converges by the alternating series test. O The alternating series test does not apply because the terms of the series do not alternate. O The alternating series test does not apply because the absolute value of the terms do not approach 0, but the series diverges by the divergence test (nth term test). O The alternating series test does not apply because the absolute value of the terms are not decreasing.
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