theorem of intermediate value

This paper is devoted to studying the asymptotic behavior of the intermediate point in the mean value theorem for first form curve integrals. A general result is obtained.

讨论了第一类曲线积分中值定理“中间点”的渐近性质，得到了更具一般性的新结果。

The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.

讨论泰勒中值定理中中值点的连续性及可导性问题，给出泰勒中值定理中中值点连续及可导的充分条件，同时给出计算其导数的公式。

This paper points out and revises some errors in the results found in four articles concerning the asymptotic behavior of the "Intermediate points" of the mean value theorem.

本文指出了有关微分中值定理“中间点”的渐近性四篇文章的结果中的错误，并给予修正。