A Geometrical Visualisation of x1+x<ln(1+x)<x−x22(1+x) for x > 0

In this classroom article, we present a geometrical interpretation of a well-known inequality x 1 + x < l n ( 1 + x ) < x − x 2 2 ( 1 + x ) for x > 0.

Saved in:
Bibliographic Details
Published inResonance Vol. 23; no. 5; pp. 597 - 600
Main Author Chakraborty, Sagar
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 2018
Subjects
Classroom
Education
Humanities and Social Sciences
multidisciplinary
Science
Science Education
logarithm
visual proof
Inequality
Online AccessGet full text

Cover

More Information
Summary:In this classroom article, we present a geometrical interpretation of a well-known inequality x 1 + x < l n ( 1 + x ) < x − x 2 2 ( 1 + x ) for x > 0.
ISSN:0971-8044
0973-712X
DOI:10.1007/s12045-018-0652-9