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トンM8 Usea valid test to delemmme. the ConvertAene ordivergence Of each infinste Serres as n tusetegral test 2"+3n 8. cJ500 李 * (Don't use Ratio test)

トンM8 Usea valid test to delemmme. the ConvertAene ordivergence Of each infinste Serres as n tusetegral test 2"+3n 8. cJ500 李 * (Don't use Ratio test)

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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Need help on part B

**Instructions:** Use a valid test to determine the convergence or divergence of each infinite series. **a)** \(\sum_{n=1}^{\infty} \frac{n}{n^2 + 1}\) Use the Integral Test. **b)** \(\sum_{n=1}^{\infty} \frac{(-1)^n}{2^n + 3n}\) **c)** \(\sum_{n=1}^{\infty} \frac{n}{3^n}\) Don't use the Ratio Test. (Note: The image also contains another expression at the top, labeled "b)", which appears to be unrelated to the main instructions and examples.)
Transcribed Image Text:**Instructions:** Use a valid test to determine the convergence or divergence of each infinite series. **a)** \(\sum_{n=1}^{\infty} \frac{n}{n^2 + 1}\) Use the Integral Test. **b)** \(\sum_{n=1}^{\infty} \frac{(-1)^n}{2^n + 3n}\) **c)** \(\sum_{n=1}^{\infty} \frac{n}{3^n}\) Don't use the Ratio Test. (Note: The image also contains another expression at the top, labeled "b)", which appears to be unrelated to the main instructions and examples.)
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