摘要
本文得到了当区间的两个端点都趋向于其内一定点时,积分中值定理中ξ的变化趋势。它推广了当区间端点b→a时积分中值理中ξ的有关渐近结果。
In this paper, a changing tendency of f in mean value theorem of integration has been obtained when the two terminal points of interval tend to a fixed point.The relevant asymptotic results of ξ in mean value theorem of integration has been extended when the terminal point b a.
关键词
积分第一中值定理
积分第二中值定理
原函数
泰勒公式
渐近性
the first mean value theorem of integration, the second mean value theorem of integration, function of primary, Taylor's formula