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An Intriguing Limit.

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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]
Copyright of American Mathematical Monthly is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Availability: 0
Header DbId: ehh
DbLabel: Education Research Complete
An: 194221974
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: An Intriguing Limit.
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  Data: <searchLink fieldCode="AR" term="%22Fornari%2C+Lorenzo%22">Fornari, Lorenzo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Laeng%2C+Enrico%22">Laeng, Enrico</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pata%2C+Vittorino%22">Pata, Vittorino</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22American+Mathematical+Monthly%22">American Mathematical Monthly</searchLink>. Jun/Jul2026, Vol. 133 Issue 6, p589-592. 4p.
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  Data: *<searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Limits+%28Mathematics%29%22">Limits (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+functions%22">Inverse functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Derivatives+%28Mathematics%29%22">Derivatives (Mathematics)</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of American Mathematical Monthly is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/00029890.2026.2644846
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      – Code: eng
        Text: English
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        PageCount: 4
        StartPage: 589
    Subjects:
      – SubjectFull: Calculus
        Type: general
      – SubjectFull: Limits (Mathematics)
        Type: general
      – SubjectFull: Inverse functions
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
      – SubjectFull: Derivatives (Mathematics)
        Type: general
    Titles:
      – TitleFull: An Intriguing Limit.
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            NameFull: Fornari, Lorenzo
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            NameFull: Laeng, Enrico
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            NameFull: Pata, Vittorino
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            – D: 01
              M: 06
              Text: Jun/Jul2026
              Type: published
              Y: 2026
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              Value: 133
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              Value: 6
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            – TitleFull: American Mathematical Monthly
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