一个函数单调性的简证及引申

A Simple Way to Prove the Momotony of a Function and Its Extension

文[1]给出了"当λ≥1/2时,函数f(x)=(1+1/x)^(x+λ)(x>0)单调递减"这一结论及其证明,文章给出其单调性的简证及推广。

It was proved and concluded that ＂suppose, then function decreases monotonically by degree＂. In this paper, the author gives a simple way to prove the monotony of the function and its extension.