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Find the radius of convergence: n!xn Σ n=1 3.8.13... (5n-2) 01 O 1/5 0 5

Find the radius of convergence: n!xn Σ n=1 3.8.13... (5n-2) 01 O 1/5 0 5

Advanced Engineering Mathematics
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:** 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 ○ \( \infty \)
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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