四阶拉格朗日中值定理中间点的渐近性质

Asymptotic Behaviour of Mediant for Fourth Order Lagrange's Mean Value Theorem

对四阶拉格朗日中值定理中间点的渐近性质进行了研究,得到的主要结果是li mx→aξ-ax-a=21和lix→maxξ--aa=41n-4n4(n n+-31.2)(n n+1--24).(3 nn--34).

Focused on the asymptotic behaviour of mediant for fourth order Lagrange＇s mean value theorem and obtained the main results as followed lim（x→a）ε-a/x-a=1/2 and lim（x→a）ε-a/x-a=1/4（n-4）√4^n＋3·2^n＋1-4·3^n-4/n（n-1）（n-2）（n-3）.