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

问题描述:

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/{...