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
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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.
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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