intermediate value theorem

基本解释

The intermediate value theorem for discontinuous function is studied, the problem of discontinuous points when the left and right limit exists is considered by ZHU Le-min.
本文将连续函数的介值定理推广到间断的情况，文中的思想方法在其他领域如数论中也是有用的。
We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.
通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。
The intermediate value theorem is proved from another point of view, for the sake of enlightening creative thought of students.
从另一角度证明了中值定理，以期启发学生的创造性思维。