∞ 5 Σ (-1)^² (8) converge absolutely, converge conditionally, or diverge? n=1 Does the series (-1)"n4 ... Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is Test is OC. The series converges absolutely since the corresponding series of absolute values is geometric with | rl = ₁ D. The series converges absolutely because the limit used in the Ratio Test is E. The series diverges because the limit used in the nth-Term Test does not exist. OF. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term $■.
∞ 5 Σ (-1)^² (8) converge absolutely, converge conditionally, or diverge? n=1 Does the series (-1)"n4 ... Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is Test is OC. The series converges absolutely since the corresponding series of absolute values is geometric with | rl = ₁ D. The series converges absolutely because the limit used in the Ratio Test is E. The series diverges because the limit used in the nth-Term Test does not exist. OF. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term $■.
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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Question
Transcribed Image Text:∞
5
Σ (-1)^~^²() converge absolutely, converge conditionally, or diverge?
n=1
Does the series (-1)^n²
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
OB. The series converges conditionally per Alternating Series Test and because the limit used in the Ratio Test is
OC. The series converges absolutely since the corresponding series of absolute values is geometric with
| rl = ₁
D. The series converges absolutely because the limit used in the Ratio Test is
E. The series diverges because the limit used in the nth-Term Test does not exist.
OF. The series converges conditionally per the Alternating Series Test and because the limit used in the nth-Term
Test is
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