获得数学思维方法 提高自身综合能力

Achieving Mathematic Way of Thought and Improving Personal Comprehensive Competence

极限揭示了变量与常量、无限与有限的对立统一关系,是唯物辩证法的对立统-规律在数学领域中的应用.借助极限,人们可以从 微观认识宏观,从有限认识无限,从"不变"认识"变",从直线形认识曲线形,从量变认识质变,从近似认识准确。由于极限具有这样的思维功 能,通过学习极限、掌握极限法,就可获取数学思维方法,在用极限法解决问题的过程中不断提高自身综合能力。

limit reveals the relationship of unity of opposites between variable and constant, infinite and finite, which is, in the field of mathematics, an application of the law of unity of the opposites in materialist dialects. With the help of limit, man can get to know the macrocosm by way of microcosm, through finite to infinite, constancy to variations, straight lineal forms to curved ones, quantitative change to qualitative change, and approximation to accuracy. Because of its function in thought, limit approach is a very good way to develop thought, and the process of learning and mastering limit is the one that exercises mind, cultivates and develops competence of thought. Mastery of limitap-proach is the attainment of a mathematic way of thought, and it develops personal comprehensive competence.