五阶拉格朗日中值定理中间点的渐近性质

Asymptotic Property of the Mean Value Point of Fifth Order Lagrange's Mean Value Theorem

研究五阶拉格朗日中值定理中间点的渐近性质,得到以下结果:limx→aξ-ax-a=12,limx→aξ-ax-a=[155n+5-5×2n+1+10×3n-5×4nn(n-1)(n-2)(n-3)(n-4])1n-5,其中ξ∈(a,x),n≥6,a∈R.

In this paper, asymptotic behavior of the mean value point of the fifth order Lagrange＇s mean value theorem is considered. The following results are obtained：……when ζ∈（a,x）,n≥6,and a∈R.