(n+1)^k-n^k的极限k

题目

(n+1)^k-n^k的极限k

答案

lim(n->∞) (n+1)^k-n^k
=lim(n->∞) n^k [(1+1/n)^k-1]
∵ lim(n->∞) 1/n = 0 ,0