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无限概念是数学上的一个长期困扰着人们的概念,可以说,数学的发展过程就是人们对无限的不断认识的过程.特别是对于微积分而言,无限是一个贯穿始终的重要概念,微积分从创立到发展都紧密困扰着对无限认识的深入和提高.甚至微积分的严密性得益于柯西对极限概念的界定.理解微积分的
The concept of infinity is a long-term mathematical concept that belies people. It can be said that the development process of mathematics is a process of continuous understanding of infinity, especially for calculus, infinity is an important and consistent concept. Calculus From the founding to the development are closely troubled with the deepening and improvement of the infinite understanding.Even the rigor of the calculus is due to Cauchy’s definition of the limit concept.The understanding of calculus