The series ∞ 1 n[In(√n)]² n=2 n is convergent O is divergent O it is not possible to determine if it converges or diverges
The series ∞ 1 n[In(√n)]² n=2 n is convergent O is divergent O it is not possible to determine if it converges or diverges
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 Series Evaluation**
The series is given by:
\[
\sum_{n=2}^{\infty} \frac{1}{n[\ln(\sqrt{n})]^2}
\]
**Options to Evaluate the Series:**
- ○ The series **is convergent**.
- ○ The series **is divergent**.
- ○ It is **not possible to determine** if it converges or diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a03efe2-d931-4461-b3ce-5e694888ce83%2F99a40529-5cde-4d91-878e-25195421a1b5%2Fib8z55qb_processed.png&w=3840&q=75)
Transcribed Image Text:**Mathematical Series Evaluation**
The series is given by:
\[
\sum_{n=2}^{\infty} \frac{1}{n[\ln(\sqrt{n})]^2}
\]
**Options to Evaluate the Series:**
- ○ The series **is convergent**.
- ○ The series **is divergent**.
- ○ It is **not possible to determine** if it converges or diverges.
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