浅析x > 0,1 < a,(a + x)^a与a^{(a + x)}的大小关系

A Study of x > 0, with 1 < a, the Magnitude of (a + x)^a versus a^{(a + x)}

通过构造重要函数,针对Nam,Kyumin在2023年提出的问题,给出新的直接证明。进一步,我们对问题进行了延展,得到了定性结果。

By constructing important functions, for Nam, Kyumin’s problem in 2023, we give new direct proof. Further, we extend the problem and obtain qualitative results.