lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限

来源:学生作业帮助网 编辑:六六作业网 时间:2024/09/09 03:39:21
lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限l

lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限
lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限

lim[n(1-1/2)(1-1/3).(1-1/n-1)]的极限
lim[n(1-1/2)(1-1/3).(1-1/n-1)] (n趋向于无穷)
=lim(n * 1/2 * 2/3 * 3/4 * ...* (n-2)/(n-1))
=lim(n/(n-1))
=lim(1/(1 - 1/n))
=1