积分中值定理当x→+∞时的“中间点”的渐近性

Asymptotic Property of the Intermediate Point of the Mean Value Theorem for Integral as x→+∞

讨论了区间[x-1,x+1]上的积分中值定理在x→+∞时的中间点的渐近性态,证明了在一定条件下,积分中值定理的中间点趋向于区间中点.

The asymptotic property of the intermediate point of the mean value theorem for the integral of the interval [x-1 ,x＋1] is discussed. Under some conditions it is proved that the intermediate point approaches to the midpoint of the interval as x→＋∞.