化简:1/(a-1)+1/{(a-1)(a+2)}+1/{(a-2)(a-3)``````+1/{(a-99)(a-100)}

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 16:04:43

化简:1/(a-1)+1/{(a-1)(a+2)}+1/{(a-2)(a-3)``````+1/{(a-99)(a-100)}
化简:1/(a-1)+1/{(a-1)(a+2)}+1/{(a-2)(a-3)``````+1/{(a-99)(a-100)}

化简:1/(a-1)+1/{(a-1)(a+2)}+1/{(a-2)(a-3)``````+1/{(a-99)(a-100)}
1/(a-1)+1/{(a-1)(a-2)}+1/{(a-2)(a-3)``````+1/{(a-99)(a-100)} =1/(a-1)+1/(a-1)-1/(a-2)+1/(a-2)-1/(a-3)+...+1/(a-99)-1/(a-100) =2/(a-1)-1/(a-100) =(a-199)/[(a-1)(a-100) 1/{(a-1)(a+2)}应该是1/{(a-1)(a-2)}吧?

1/(a-1)+1/(a-1)(a-2)+.....1/(a-99)(a-100) =1/(a-1)+[1/(a-2)-1/(a-1)]+....[1/(a-100)-1/(a-99)]=1/(a-1)+1/(a-2)-1/(a-1)+1/(a-3)-1/(a-2)+........+1/(a-100)-1/(a-99)=1/(a-100)