#i a) Home Work set 3 Hualyris. Consider the series. Erinti گے ni 3 3√n (lnn) ³ Is this secives convergent? Is it absolutely convergent ?
#i a) Home Work set 3 Hualyris. Consider the series. Erinti گے ni 3 3√n (lnn) ³ Is this secives convergent? Is it absolutely convergent ?
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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I need to solve this problem. Consider this series if it converges.
![**Homework Set 3: Analysis**
**#1 Consider the series**
\[
\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{\sqrt{n} \cdot (\ln n)^3}
\]
a) Is this series convergent?
b) Is it absolutely convergent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe742bcfc-6571-4eb6-8020-0d244ddd1492%2F42c5e897-6baf-48d9-b532-b38740ad8a7a%2Fgvcexp8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Homework Set 3: Analysis**
**#1 Consider the series**
\[
\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{\sqrt{n} \cdot (\ln n)^3}
\]
a) Is this series convergent?
b) Is it absolutely convergent?
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