闭区间连续函数点的存在性在开区间上的探讨

Discussion on the points existence of closed interval continuous function on the open interval

在闭区间连续函数的介值定理与积分中值定理的结论中,点的存在性在闭区间上成立.通过实例给出闭区间连续函数点的存在性在开区间上成立的证明,并加强了积分中值定理的结论,使其应用更加广泛.

In the conclusion of the intermediate value theorem of the closed interval continuous function and the mean value theorem of integration,the existence of a point is true on a closed interval.The existence of closed interval continuous function points on the open interval is proved by an example,the conclusion of the mean value theorem of integration is strengthened,make it more widely used.