数列求极限

特殊数列

1^k+2^k+...+n^k=((n+1+p)^(k+1)-p^(k+1))/(k+1)
特别的,
k=1 时,n(n+1)/2
k=2 时,n(n+1)(2n+1)/6

裂项法

![image1](/img/user/resources/attachments/image1-12 3.png)

![image2](/img/user/resources/attachments/image2-11 3.png)