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sin(7n) A 1. n2 (-7)" C 2. n=1 (-1)" A 3. 4n + 5 (n + 1)(2² – 1)" - 4. 22n Vn 5. (-1)", n+ 5 C n=1

sin(7n) A 1. n2 (-7)" C 2. n=1 (-1)" A 3. 4n + 5 (n + 1)(2² – 1)" - 4. 22n Vn 5. (-1)", n+ 5 C n=1

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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Match each of the following with the correct statement.

Match each of the following with the correct statement: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges. 1. \(\sum_{n=1}^\infty \frac{\sin(7n)}{n^2}\) - Answer: A 2. \(\sum_{n=1}^\infty \frac{(-7)^n}{n^6}\) - Answer: C 3. \(\sum_{n=1}^\infty \frac{(-1)^n}{4n+5}\) - Answer: A 4. \(\sum_{n=1}^\infty \frac{(n+1)(2^2-1)^n}{2^{2n}}\) - Answer: C 5. \(\sum_{n=1}^\infty \frac{(-1)^n \sqrt{n}}{n+5}\) - Answer: C
Transcribed Image Text:Match each of the following with the correct statement: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges. 1. \(\sum_{n=1}^\infty \frac{\sin(7n)}{n^2}\) - Answer: A 2. \(\sum_{n=1}^\infty \frac{(-7)^n}{n^6}\) - Answer: C 3. \(\sum_{n=1}^\infty \frac{(-1)^n}{4n+5}\) - Answer: A 4. \(\sum_{n=1}^\infty \frac{(n+1)(2^2-1)^n}{2^{2n}}\) - Answer: C 5. \(\sum_{n=1}^\infty \frac{(-1)^n \sqrt{n}}{n+5}\) - Answer: C
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