18/10/27 12:25:34.33 rzBY84ap.net
>>948
1<x<4 のとき
log(ex) = 1 + log(x)
= 1 - 2log(1/√x)
> 1 - 2(1/√x -1) (log(y) < y-1)
= 3 - 2/√x
= √x + (2-√x)(√x -1)/√x
> √x, (1<√ｘ<2)
∴ {log(ex)}^2 /x > 1,
x = π/e とおく。
18/10/27 12:25:34.33 rzBY84ap.net
>>948
1<x<4 のとき
log(ex) = 1 + log(x)
= 1 - 2log(1/√x)
> 1 - 2(1/√x -1) (log(y) < y-1)
= 3 - 2/√x
= √x + (2-√x)(√x -1)/√x
> √x, (1<√ｘ<2)
∴ {log(ex)}^2 /x > 1,
x = π/e とおく。