rgence. If result is converg
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
Determine convergence/ divergence. If result is convergence, find the limit.
Transcribed Image Text:**Exercise 3: Test for Convergence/Divergence**
Evaluate the following series to determine if they converge or diverge. If a series converges, find its limit.
**a)** \( \sum_{n=1}^{\infty} \left( \frac{1}{n^2 + 5n + 6} \right) \)
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**b)** \( \sum_{n=1}^{\infty} \cos\left( \frac{1}{n} \right) \)
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**c)** \( \sum_{n=1}^{\infty} \frac{\cos(n \pi)}{5^{n-1}} \)
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