Determine if the series conv theorem you are using and s 100 1 6. Σ xln1/2(x) 7.5 3*k! Σ κι (2k)!
Determine if the series conv theorem you are using and s 100 1 6. Σ xln1/2(x) 7.5 3*k! Σ κι (2k)!
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 and Divergence
**Determine if the series converges or diverges. Justify your conclusion by stating the theorem you are using and showing that the condition of the theorem is satisfied.**
**6.** \[
\sum_{n=2}^{\infty} \frac{1}{x \ln^{1/2}(x)}
\]
**7.** \[
\sum_{k=1}^{\infty} \frac{3^k \cdot k!}{(2k)!}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F197e26df-0092-4237-9a65-d284350ca22d%2F790f0178-22f4-4d24-b583-f4dcaa6e5497%2Fin9l5dt_processed.png&w=3840&q=75)
Transcribed Image Text:### Series Convergence and Divergence
**Determine if the series converges or diverges. Justify your conclusion by stating the theorem you are using and showing that the condition of the theorem is satisfied.**
**6.** \[
\sum_{n=2}^{\infty} \frac{1}{x \ln^{1/2}(x)}
\]
**7.** \[
\sum_{k=1}^{\infty} \frac{3^k \cdot k!}{(2k)!}
\]
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