由O.Schlmilch-Roche式探讨Lagrange余项及Cauchy余项的由来

From O.Schlmilch-Roche Formula Explore How Lagrange Remainder and Cauchy Remainder Come into Being

运用Taylor展式的基本理论以及Cauchy公式推导出Taylor展式余项的O.Schlmilch-Roche式,并以O.Schlmilch-Roche式作为基础对其中的变量p进行赋值,从而探讨数学分析中Taylor展式的Lagrange余项及Cauchy余项的由来,使之更具理论依据.

With the use of the theory of Taylor＇s formula and Cauchy mean value theorem,the O.Schlmilch-Roche formula is obtained.On the basic of O.Schlmilch-Roche formula,by assigning the variable in O.Schl？milch-Roche formula,Lagrange remainder and Cauchy remainder can be explored,which gives the two remainders theoretical foundation.