When is 0.999... equal to 1?

2005/11/23 by Robin Pemantle, Carsten Schneider, Pemantle, R. +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.math/0511574

openalex publication_date 2005/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A doubly infinite sum, numerically evaluated at between 0.999 and 1.001, turns out to have a nice value.

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