积分型柯西中值定理中值点的变化趋势

On the change trends of mean value point in Cauchy mean value theorem of integral type

利用泰勒公式,讨论了当区间的两个端点都趋于其内一定点时,积分型柯西中值定理中值点的变化趋势,得到了具有一般性的结论.

By means of Taylor formula,this paper discusses the asymptotic properties of mean value point in Cauchy mean value theorem of integral type,when the two end points of interval tend to a fixed point in the interval.The general results are obtained.