Mathematical Methods in the Physical Sciences · Problem 6.31

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · special-comparison-test

Problem

Use the special comparison test to find whether the series ∑n=9∞(2n+1)(3n−5)n2−73\displaystyle\sum_{n=9}^{\infty} \frac{(2n+1)(3n-5)}{\sqrt{n^2-73}} converges or diverges.

Related theory

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