【摘要】 利用复合函数极限的运算法则给出收敛数列与其子列的关系、海涅定理以及数列重排的另一种证明,把三个重要的定理归结为复合函数极限的应用,将大学数学里三个重要但理解起来相对困难的定理纳入统一简单的框架.更多还原

【Abstract】 In this paper,we use the rule of the limits for compound functions to provide simple proofs for the relation between convergent number sequence and its subsequence, Heine’s theorem,and the rearrangement of number sequence.These three difficult but important theorems therefore can be accepted by teachers and students easily.更多还原