John D. Cook 3/18/2026

Tighter bounds on alternating series remainder

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This technical article discusses the alternating series test from calculus and presents tighter bounds on the series remainder. It details how assumptions about the monotonic convergence of terms and their successive differences lead to more precise upper and lower error bounds, citing a 2018 paper from the American Mathematical Monthly. The content is relevant for numerical computing and mathematical analysis.

Tighter bounds on alternating series remainder

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