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极限是微积分的理论基础，唯物辩证法是极限的哲学基础。本文以数列极限为例，较系统地分析了极限概念中蕴含的丰富的唯物辩证法内涵：相对固定与绝对变化、有限与无限、常量与变量、近似与精确、过程与结果等对立统一规律，量变质量规律以及否定之否定规律。无限与极限相伴而生。由于对待矛盾各个侧面的不同分析和主张，导致了两种对立的无限观：潜无限与实无限．微积分中的无限是客观原型的抽象，无限是分层次的。
Limit is the theoretical basis of calculus, materialist dialectics is the limit of philosophical foundation. In this paper, we take the numerical limit as an example to systematically analyze the abundant connotation of materialist dialectics contained in the concept of limit: the relative regularity and absolute change, finite and infinite, constant and variable, approximation and precision, the law of unity of opposites such as process and result, The law of quality and the law of negation. Infinite and limit come together. Due to the different analyzes and claims on different sides of the contradictions, two kinds of opposite infinity views have been created: the infinite and the infinite. Infinity in calculus is an objective prototype of abstraction, infinitely hierarchical.