一个不等式的证明方法探讨

Discussion on the Proof Methods for an Inequality

针对一道不等式的证明题,进行探讨,提出3种证明方法,即可以利用泰勒(Taylor)公式、拉格朗日(Lagrange)中值定理证明和反证法证明,进而培养学员的发散思维.

This paper discusses the proof for an inequality, proposes three methods to prove it, such as Tailor formula, Lagrange mean theorem and reduction to absurdity, in order to cultivate the divergent thinking of the students.