#1691 · Real Analysis · Series

Alternating Series with Positive Parameters

Determine whether the series $\frac{1}{x} - \frac{1}{x + a} + \frac{1}{x + 2 a} - \frac{1}{x + 3 a} + \dots$ is convergent or divergent, where $x$ and $a$ are positive quantities.

~5 minProof · checked by AIalternating seriesconvergence tests

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXI. Convergency and Divergency of Series, Examples XXI.a, No. 1

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