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


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

