百科问答小站 logo
百科问答小站 font logo



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




  

相关话题

  这道数列极限有简单点的做法吗? 
  数学史上你认为最美的公式是什么? 
  如何通俗地解释泰勒公式? 
  使用泰勒公式进行估算时,在不同点展开的区别和意义是啥? 
  勒让德倍量公式如何证明? 
  这道数列极限有简单点的做法吗? 
  0到1之间所有有理数之和 ,和1到2之间的有理数之和,哪个大? 
  是不是不能这样做,为什么? 
  这个极限要如何计算? 
  圆锥体内切球公式是怎么推导的? 

前一个讨论
伽马函数中,Γ(1/2)=√π 怎么来的?
下一个讨论
'如何计算该定积分?





© 2025-01-31 - tinynew.org. All Rights Reserved.
© 2025-01-31 - tinynew.org. 保留所有权利