This article illustrates the nature of the asymptoticity of the intermediate point in the Second Mean Value Theorem for Integrals under various conditions, and meanwhile improves and popularizes the previous conclusions.

Asymptotic estimation formula of the "intermediate point" in the generalized mean value theorem when m≠n;

Asymptotic behavior of the intermediate point in Taylor formula;

On Intermediate Value Formulas and Asymptotic Properties of "Intermediate point" for a Complex Function;

On the promotion of integral value theorem and the nature of its middle point;

On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and.

The advancing gradually character on middle point defined by Lagrange remainder of the Taylor formula of the distribution function has been discussed,the theory support has been given to the probability approximate compute.

The new develpoment of research on the asymptotic behavior of the “medial point”of the theorem of mean reaction;

The asymptotic state for “medial point”of the second integral mean value theorem when x is near infinite;

The Asymptoticality of the Medial Point on the Mean Value Theorem;