Mathematical Methods in the Physical Sciences · Problem 6.26

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · ratio-test

Problem

Use the ratio test to find whether the series ∑n=0∞(n!)3e3n(3n)!\displaystyle\sum_{n=0}^{\infty} \frac{(n!)^3 e^{3n}}{(3n)!} converges or diverges.

Related theory

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