An Intriguing Limit.

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Bibliographic Details
Title: An Intriguing Limit.
Authors: Fornari, Lorenzo1 (AUTHOR), Laeng, Enrico1 (AUTHOR), Pata, Vittorino1 (AUTHOR)
Source: American Mathematical Monthly. Jun/Jul2026, Vol. 133 Issue 6, p589-592. 4p.
Subject Terms: *Calculus, Limits (Mathematics), Inverse functions, Mathematical analysis, Derivatives (Mathematics)
Abstract: Given two functions satisfying f (0) = g (0) = 0 and f ′ (0) = g ′ (0) = 1 , we investigate the limit lim x → 0 f (x) − g (x) g − 1 (x) − f − 1 (x). [ABSTRACT FROM AUTHOR]
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Database: Education Research Complete
Description
Abstract:Given two functions satisfying f (0) = g (0) = 0 and f ′ (0) = g ′ (0) = 1 , we investigate the limit lim x → 0 f (x) − g (x) g − 1 (x) − f − 1 (x). [ABSTRACT FROM AUTHOR]
ISSN:00029890
DOI:10.1080/00029890.2026.2644846