Find the radius of convergence: n!xn Σ n=1 3.8.13... (5n-2) 01 O 1/5 0 5
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
![**Question:**
Find the radius of convergence:
\[
\sum_{n=1}^{\infty} \frac{n! \cdot x^n}{3 \cdot 8 \cdot 13 \cdot \ldots \cdot (5n - 2)}
\]
**Options:**
○ 0
○ 1
○ \( \frac{1}{5} \)
○ 5
○ \( \infty \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55815b3c-2575-4201-a9dc-5a4b41a14c1d%2Ff4adc4b1-3efb-4b73-b84e-a71a02343cb8%2Fwrmi6qc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Find the radius of convergence:
\[
\sum_{n=1}^{\infty} \frac{n! \cdot x^n}{3 \cdot 8 \cdot 13 \cdot \ldots \cdot (5n - 2)}
\]
**Options:**
○ 0
○ 1
○ \( \frac{1}{5} \)
○ 5
○ \( \infty \)
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