Mathematical Methods in the Physical Sciences · Problem 6.36

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · special-comparison-test

Problem

Use the special comparison test to find whether the series ∑n=1∞n3+5n−1n2−sin⁡n3\displaystyle\sum_{n=1}^{\infty} \frac{\sqrt{n^3+5n-1}}{n^2-\sin n^3} converges or diverges.

Related theory

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