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

  f(x+1/x)=x^2+1/x^2 求f'(x+1/x)是多少? 
  如何求这两个极限? 
  请问各位大神,这个第十题怎么做? 
  洛必达法则为什么会存在失效的情况? 
  有界函数在正无穷处导数趋近于零,如何证明该函数在正无穷处有极限? 
  线性代数为什么学校老师讲得那么复杂,考研老师却讲得如此精辟? 
  这题怎么直接用泰勒展开求极限 (√(1+2sin x)-x-1)(x ln(1+x)) (x→0) ? 
  如何计算如下极限?本人高三刚毕业,正在预习大学知识,希望得到简易的解法。? 
  请问这道题用麦克劳林该怎么做? 
  请问这道题极限怎么求? 

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?





© 2024-12-26 - tinynew.org. All Rights Reserved.
© 2024-12-26 - tinynew.org. 保留所有权利