1/2!+2/3!+3/4!+...+n-1/n!
展开全部
1/2!+2/3!+3/4!+...+(n-1)/n!
=(2-1)/2!+(3-1)/3!+(4-3)/4!+...+(n-1)/n!
=2/2!+3/3!+4/4!+...+n/n!-1/2!-1/3!-1/4!-...-1/n!
=1/1!+1/2!+1/3!+...+(n-1)/n!-1/2!-1/3!-1/4!-...-1/n!
=1-1/n!
=(2-1)/2!+(3-1)/3!+(4-3)/4!+...+(n-1)/n!
=2/2!+3/3!+4/4!+...+n/n!-1/2!-1/3!-1/4!-...-1/n!
=1/1!+1/2!+1/3!+...+(n-1)/n!-1/2!-1/3!-1/4!-...-1/n!
=1-1/n!
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询