The series converge of diurge? ? CNR não 5-Cosni

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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**Question: Does the series converge or diverge?**

**Mathematical Expression:**

\[
\sum_{{n=0}}^{\infty} \frac{1}{5 - \cos(n \pi)}
\]

This mathematical expression represents an infinite series where the general term is given by \( \frac{1}{5 - \cos(n \pi)} \). The task is to determine whether this series converges or diverges.
Transcribed Image Text:**Question: Does the series converge or diverge?** **Mathematical Expression:** \[ \sum_{{n=0}}^{\infty} \frac{1}{5 - \cos(n \pi)} \] This mathematical expression represents an infinite series where the general term is given by \( \frac{1}{5 - \cos(n \pi)} \). The task is to determine whether this series converges or diverges.
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