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这到极限题怎么做,据说要用到余元公式。能否讲透些? 第1页

  

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

Let's introduce an interesting identity.


especially, if , it turns to

Proof:

From the known Weierstrass Expansion of Gamma Function, we have

Timing by two sides of formula , and noticing that , we get

Replacing by in identity while let be a substitute of in identity where , we obtain

Multiplying and with the increase of from to , we finally simplify to

Peculiarly, when , there is


As for this question, note that




  

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