Mathematical Methods in the Physical Sciences · Problem 6.29

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · ratio-test

Problem

Use the ratio test to find whether the series ∑n=0∞(2n)!n!\displaystyle\sum_{n=0}^{\infty} \frac{\sqrt{(2n)!}}{n!} converges or diverges.

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