Question

高数微积分use any method to determine whether the series converge

Answer 1

柯西审敛法：[(n/n+1)^(n²)]^(1/n)=(n/n+1)^n lim(n->∞)[(n/n+1)^n]=lim(n->∞){[1-1/(n+1)]^(n+1)*n/(n+1)}=1/e