For what values of p does the series below converge? Select the correct answer below: O p > 2 O p = 2 2 p < 2 Σ n=2 In (n) 26n²
For what values of p does the series below converge? Select the correct answer below: O p > 2 O p = 2 2 p < 2 Σ n=2 In (n) 26n²
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
![**Series Convergence Exploration**
**Problem Statement:**
Determine the values of \( p \) for which the series below converges:
\[
\sum_{n=2}^{\infty} \frac{\ln(n)}{26n^p}
\]
**Options:**
- \( p > 2 \)
- \( p = 2 \)
- \( p < 2 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa47a53d3-7bed-49c5-b0b6-97d0815f88bc%2F0e839780-2c6c-45da-8a1f-dce806c44b77%2Frj5x9be_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Series Convergence Exploration**
**Problem Statement:**
Determine the values of \( p \) for which the series below converges:
\[
\sum_{n=2}^{\infty} \frac{\ln(n)}{26n^p}
\]
**Options:**
- \( p > 2 \)
- \( p = 2 \)
- \( p < 2 \)
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