離散-四版習題解答-480頁8-43題

Order the following functions by their growth rates from smallest to largest:
(a)log n
(b) e^((logn)^(1/2))
(c)n^E , 0 < E < 1
(d)(1+O(1/n))^O(n)

我不懂得是為什麼(d)取log會變成log(e)，不是應該取完log變成 n 嗎?
麻煩各位了