Mathematical Methods in the Physical Sciences · Problem 6.35

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · special-comparison-test

Problem

Use the special comparison test to find whether the series ∑n=3∞(n−ln⁡n)25n4−3n2+1\displaystyle\sum_{n=3}^{\infty} \frac{(n-\ln n)^2}{5n^4-3n^2+1} converges or diverges.

Related theory

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