Mathematical Methods in the Physical Sciences · Problem 19

INFINITE SERIES, POWER SERIES — Mary Boas

Mathematics — Methods · series-convergence-divergence

Problem

Test the following series for convergence or divergence:

\frac{1}{2^2} - \frac{1}{3^2} + \frac{1}{2^3} - \frac{1}{3^3} + \frac{1}{2^4} - \frac{1}{3^4} + \cdots