证明等式:

A . 1700年 B . 1727年 C . 1737年 D . 1773年

设n为正整数,证明不等式<img src='https://img2.soutiyun.com/ask/2020-12-12/976625365926413.png' />.

<img src='https://img2.soutiyun.com/ask/2021-02-25/983103268676467.png' />

<img src='https://img2.soutiyun.com/ask/2021-02-03/981199421509171.png' />

<img src='https://img2.soutiyun.com/ask/2020-08-17/966519866012407.png' />

<img src='https://img2.soutiyun.com/ask/2020-09-14/968966909120971.png' />

试证明下列逻辑恒等式(方法不限): <img src='https://img2.soutiyun.com/ask/2021-01-21/980080827718427.png' />

利用曲线的凹凸性证明不等式:<img src='https://img2.soutiyun.com/ask/2020-10-27/972646728458397.png' />其中χ＞0,y＞0且χ≠y.

<img src='https://img2.soutiyun.com/ask/2020-12-16/976958738338061.png' />

<img src='https://img2.soutiyun.com/ask/2020-10-12/97136417947982.png' />

<img src='https://img2.soutiyun.com/ask/2020-09-14/968966896570254.png' />

<img src='https://img2.soutiyun.com/ask/2020-08-03/965292956827993.png' />

<img src='https://img2.soutiyun.com/ask/2021-01-10/979154285328055.png' />

证明<img src='https://img2.soutiyun.com/ask/2021-01-28/980697697392064.png' />在什么条件下等式成立？

<img src='https://img2.soutiyun.com/ask/2020-11-13/97413809281022.png' />

<img src='https://img2.soutiyun.com/ask/2020-11-11/973977284012324.png' />

证明:<img src='https://img2.soutiyun.com/ask/2020-11-12/974064767073752.jpg' />有不等式<img src='https://img2.soutiyun.com/ask/2020-11-12/974064780959546.png' />