Almost-linear approximation of ln(1+x) valid for 0 ≤ x ≤ 1

Authors

Robert Schneider, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

2024

Department

Department of Mathematical Sciences

Abstract

It is a well-known estimate that, for small values x≥0 much smaller than 1, the linear function x approximates ln(1+x) . Alas, this easy approximation does not hold on all of the interval [0,1] . A far better almost-linear approximation is presented in this article.

Publication Title

Parabola

Recommended Citation

Schneider, R. (2024). Almost-linear approximation of ln(1+x) valid for 0 ≤ x ≤ 1. Parabola, 60(1).
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/884