关于《贝克莱悖论与点态连续性概念及有关问题》的注记

摘要

This expository note explains why the formal paradox “Δx ≠ 0 and Δx = 0” could be reasonably involved in an analytic equality that relates the derivative f′(x) of a differentiable function y = f(x) with the normalized limit of Δy/Δx as Δx → 0 ± ,etc .Also presented is a related geometrical interpretation .%形式悖论“Δx ≠0与Δx＝0”出现于蕴含点态连续性的导数极限等式，是合理的必然结果。差商函数的连续性延拓有分析意义和几何意义。