Mathematical Methods in the Physical Sciences · Problem 6.33

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · special-comparison-test

Problem

Use the special comparison test to find whether the series ∑n=5∞12n−n2\displaystyle\sum_{n=5}^{\infty} \frac{1}{2^n - n^2} converges or diverges.

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