2n (1 + n)3n
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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Test the series for convergence or divergence.
![The image shows the following mathematical expression:
\[
\text{C.} \ \sum_{n=1}^{\infty} \frac{n^{2n}}{(1+n)^{3n}}
\]
This expression represents an infinite series where the terms are determined by the formula \(\frac{n^{2n}}{(1+n)^{3n}}\). The series begins at \(n = 1\) and continues indefinitely. The notation \(\sum\) (sigma) indicates summation, meaning that we add together each term of the series starting from \(n = 1\) to infinity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcba434d-76d4-4036-80a1-f05d1bad2e8d%2F0296ef8f-7de5-4a1a-96dc-4bd4ab22ead0%2Fbshdqdn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows the following mathematical expression:
\[
\text{C.} \ \sum_{n=1}^{\infty} \frac{n^{2n}}{(1+n)^{3n}}
\]
This expression represents an infinite series where the terms are determined by the formula \(\frac{n^{2n}}{(1+n)^{3n}}\). The series begins at \(n = 1\) and continues indefinitely. The notation \(\sum\) (sigma) indicates summation, meaning that we add together each term of the series starting from \(n = 1\) to infinity.
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