关于微分中值定理“中间点”的渐近性

On the Asymptotic Behaviour of the between Point of the Mean Value Theorem

本文在过程为[a,b]→0的观点下,对微分中值定理“中间点”的渐近性给予了再论讨。比起在过程为b→a的观点下,对“中间点”的渐近性的讨论,笔者得到了更普遍的结论。特别是在[a,b]→0的观点下,对罗尔定理“中间点”的渐近性也进行了讨论。

In this paper a further discussion is given for the asymptotic behaviour of the betwecnness point of the mean value theorem, wich the process [a, b]-0.Compared with the process b- a, we obtain more general results, and particularly, we deal with the asymptotic behaviour of the betweenness point for the Rolle theorem.