(n+1)^(k-1)/n^k的极限,n趋向无穷

Question

(n+1)^(k-1)/n^k的极限,n趋向无穷

Answer 1

lim(n→∞)(n+1)^(k-1)/n^k=lim(n→∞){[(n+1)/n]^(k-1)}/n
=lim(n→∞)[(1+1/n)^(k-1)]/n=lim(n→∞)1/n=0