n/(n+1)!
=(n+1-1)/(n+1)!
=(n+1)/(n+1)!-1/(n+1)!
=1/n!- 1/(n+1)!所以
原式
=1/1!-1/2!+ 1/2!-1/3!+ 1/3!-1/4!+...+ 1/n!-1/(n+1)!
=1-1/(n+1)!
求解高中代数问题求下面代数式的过程及答案急!求高手解答!
n/(n+1)!
=(n+1-1)/(n+1)!
=(n+1)/(n+1)!-1/(n+1)!
=1/n!- 1/(n+1)!所以
原式
=1/1!-1/2!+ 1/2!-1/3!+ 1/3!-1/4!+...+ 1/n!-1/(n+1)!
=1-1/(n+1)!