Taylor公式中的Lagrange型余项R_n(x)的探讨

To Discuss the Lagrange Remainder Term R_n(x) of Taylor Formula

对函数f(x)的n阶Taylor公式中的Lagrange型余项Rn(x)是否能用f(x)的(n+1)阶导数表示,又能用(n+2)阶导数表示进行了研究,得到了用f(x)的(n+1)阶导数、(n+2)阶导数表示均可的结论,从而使奇偶函数展为Taylor公式更加灵活.

This paper discuss that the Lagrange remainder term R, （x） of the function n order Taylor equations canderivative by f（x） of the （n＋ 1） and also can derivative by （n＋ 2） , to gets conclusions of the （n＋ 1） of f（x） derivativeand （n＋2） derivative and prove that, thereby, to make the parity function into Taylor formula more flexible.