Mathematical Methods in the Physical Sciences · Problem 7

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · series-convergence-divergence

Problem

Test the following series for convergence or divergence: ∑n=0∞(2n)!3n(n!)2\sum_{n=0}^{\infty} \frac{(2n)!}{3^n (n!)^2}

Related theory

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