Asymptotic Behavior of Intermediate Points for the Differential Mean Value Theorem of a Function of Several Variables

In this paper, the asymptotic behavior of intermediate points is discussed for the differential mean value theorem of functions of several variables, which brings about more general results such as:
1)when ξ=x₀+θh(0 < θ < 1) then ???19960212???(||ξ-x₀||)/(||h||)=(1)/(2).
2)As the moving point x₀+h tends to x₀ along a certain direction,there are intermediate points ξ not belonging to the joining line between x₀ and x₀+h, the ξ, tends to x₀ along another define direction. In this case,
???19960212???(||ξ-x₀||)/(||h||)=(1)/(2) ((p⁰)^τ▽²f(x₀)p⁰)/((ξ⁰)^τ▽²f(x₀)p⁰)