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[不等式] 比较大小 $a=1/10,b=\ln\frac{10}9,c=\frac{\sqrt{10}}{30}$

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isee Posted at 2024-12-29 13:19:05 |Read mode

Last edited by isee at 2024-12-29 13:59:00将以下面三数 $a=1/10,b=\ln\frac{10}9,c=\frac{\sqrt{10}}{30}$ 从小到大排序.

高中数学, 导数, 比较大小, 构造函数

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Aluminiumor Posted at 2024-12-29 13:49:48 From the mobile phone

显然 $a＜b,a＜c$
$b＝\ln(10/9)＜\sqrt{10/9}-\sqrt{9/10}＝c$

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