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。
the content of intermediate value theorem of the derivative is given and strictly proved by using various methods.
给出了导数的介值定理的内容,并用不同的方法对定理进行了严格的证明。
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.