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大佬们这个题怎么证呀? 第1页

  

user avatar   a-tuan-14 网友的相关建议: 
      

Consider the following function

where Obviously, is continous on in the set due to the continuity of

For , assuming that

then we have

By applying the Intermediate Value Theorem, there exsits at least a constant that satifies

Note that

It turns

let

where and is in

Hence, there exsits at least a constant that satifies

which could also be written as




  

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