河南科学
河南科學
하남과학
HENAN SCIENCE
2014年
9期
1685-1687
,共3页
Taylor公式%中值定理%余项%极限
Taylor公式%中值定理%餘項%極限
Taylor공식%중치정리%여항%겁한
Taylor formula%mean value theorem%remainder%limit
利用Taylor公式对Lagrange及Taylor中值定理中Lagrange型余项的θ极限问题进行了定量研究。通过对 f (x)在x=x0点的某个邻域内低阶可导情形的研究推广到n阶连续可导的情形，进而得到一般性的结论。
利用Taylor公式對Lagrange及Taylor中值定理中Lagrange型餘項的θ極限問題進行瞭定量研究。通過對 f (x)在x=x0點的某箇鄰域內低階可導情形的研究推廣到n階連續可導的情形，進而得到一般性的結論。
이용Taylor공식대Lagrange급Taylor중치정리중Lagrange형여항적θ겁한문제진행료정량연구。통과대 f (x)재x=x0점적모개린역내저계가도정형적연구추엄도n계련속가도적정형，진이득도일반성적결론。
The quantitative research on θ limit of Lagrange remainder in Lagrange mean value theorem and Taylor mean value theorem has been carried out by using Taylor formula. The research of low-order differentiable within a neighbourhood on f (x) at x=x0 is extended to n order continuously differentiable,and then a general conclusion has been obtained.
