什么狗聪明,最听话:排列求和 3/(1!+2!+3!)+4/(2!+3!+4!)+(N+2)/[N!+(N+1)!+(N+2)!] 很紧急!

来源:百度文库 编辑:高考问答 时间:2024/05/03 06:22:52
今晚谁能解答啊?很着急!

我刚学哈~~~
3/(1!+2!+3!)=3/(1+2*1+3*2*1)=1/3 ①
4/(2!+3!+4!)=4/(2*1+3*2*1+4*3*2*1)=1/8 ②
(N+2)/[N!+(N+1)!+(N+2)!] =(N+2)/[N!+(N+1)*N!+(N+2)*(N+1)*N!]
=(N+2)/[N!+(N+1)*N!+(N2+3N+2)*N!]
N2 为N的平方哦~~ =(N+2)/[(1+N+1+N2+3N+2)*N!]
=(N+2)/[(N2+4N+4)*N!]
(N+2)2 为N+2的平方哦~~ =(N+2)/(N+2)2*N!
=1/(N+2)N! ③
①+②+ ③=11/24+1/(N+2)*N!

算详细了把~~~呼~~