Mathematical Methods in the Physical Sciences · Problem 6.11

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · integral-test

Problem

Use the integral test to find whether the series ∑1∞1n(1+ln⁡n)3/2\displaystyle\sum_{1}^{\infty} \frac{1}{n(1+\ln n)^{3/2}} converges or diverges.

Related theory

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