When Tangent Plane = Limit of Secant Plane
General Mathematics
2025-02-18 v1
Abstract
For function of one variable, differentiability is equivalent to the existence of tangent line as the limit of secant line. The genuine counterpart of this equivalence for function of several variables is obtained for the first time.
Cite
@article{arxiv.2502.10484,
title = {When Tangent Plane = Limit of Secant Plane},
author = {Zhibin Yan},
journal= {arXiv preprint arXiv:2502.10484},
year = {2025}
}
Comments
5 pages