(2n+1)! ο Ση=1 (3)η
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
Determine if each of the following series is absokutely convergent, conditionally convergent, or divergent
![The image contains mathematical notation for an infinite series. It is presented as follows:
b)
\[
\sum_{n=1}^{\infty} \frac{(2n+1)!}{(-3)^n}
\]
This expression represents the sum of the series from \( n = 1 \) to infinity. In the series, \( (2n+1)! \) is the factorial of \((2n+1)\), and each term is divided by \((-3)^n\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff675898d-3fe8-40cd-9afe-fa982eda0648%2Fe35a1906-bda2-413f-8ccf-3f625d81f939%2Fg6x0ou_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains mathematical notation for an infinite series. It is presented as follows:
b)
\[
\sum_{n=1}^{\infty} \frac{(2n+1)!}{(-3)^n}
\]
This expression represents the sum of the series from \( n = 1 \) to infinity. In the series, \( (2n+1)! \) is the factorial of \((2n+1)\), and each term is divided by \((-3)^n\).
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