C. n In n n=2
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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![### Mathematical Expression
The image contains a mathematical expression involving an infinite series. It is represented as follows:
\[ C, \quad \sum_{n=2}^{\infty} \frac{3}{n \ln n} \]
**Explanation:**
- **C:** This is simply a variable or label, possibly referring to a constant or a particular part of the problem.
- **Summation (\( \sum \)):**
- The summation symbol indicates that we are summing over all terms from \( n = 2 \) to infinity (\( \infty \)).
- The expression to be summed is \( \frac{3}{n \ln n} \).
- **Fraction (\( \frac{3}{n \ln n} \)):**
- **Numerator:** The constant number 3.
- **Denominator:** The product of \( n \) and \( \ln n \), where \( \ln n \) represents the natural logarithm of \( n \).
This series is likely being analyzed or evaluated for its convergence or divergence properties based on the growth of the denominator involving \( n \ln n \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c0cefad-aa45-4483-9879-c5a9b7dd07e2%2F3e308a2b-7b3c-4ddf-b26a-a3b5c76c7a52%2F1e02e7d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Mathematical Expression
The image contains a mathematical expression involving an infinite series. It is represented as follows:
\[ C, \quad \sum_{n=2}^{\infty} \frac{3}{n \ln n} \]
**Explanation:**
- **C:** This is simply a variable or label, possibly referring to a constant or a particular part of the problem.
- **Summation (\( \sum \)):**
- The summation symbol indicates that we are summing over all terms from \( n = 2 \) to infinity (\( \infty \)).
- The expression to be summed is \( \frac{3}{n \ln n} \).
- **Fraction (\( \frac{3}{n \ln n} \)):**
- **Numerator:** The constant number 3.
- **Denominator:** The product of \( n \) and \( \ln n \), where \( \ln n \) represents the natural logarithm of \( n \).
This series is likely being analyzed or evaluated for its convergence or divergence properties based on the growth of the denominator involving \( n \ln n \).
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