摘要
介绍带Peano型余项的Taylor公式在极限计算中的应用,以及带Lagrange型余项的Taylor公式在导数估计中的应用,并对带变上限积分形式余项的Taylor公式,利用分部积分法给出一种证明.
The application of Taylor formula with Peano form of the remainder for calculating limits is introduced ,as well as the application of Taylor formula with Lagrange form of the remainder for estimating derivatives (or higher order derivatives) .Moreover ,a Taylor formula with an integration form of the reminder is established .
出处
《高等数学研究》
2014年第4期89-91,共3页
Studies in College Mathematics
关键词
TAYLOR公式
余项估计
变上限积分
分部积分法
Taylor formula,estimation of remainder,integration of variable upper limit,integration by parts
