x-1乘以x-2分之1,+x-2乘以x-3分之1,+x-3乘以x-4分之1,+.+x-99乘以x-100分之_数学解答

x-1乘以x-2分之1,+x-2乘以x-3分之1,+x-3乘以x-4分之1,+.+x-99乘以x-100分之

人气：295 ℃　时间：2019-08-30 12:13:28

解答

=[1/(x-2)-1/(x-1)]+[1/(x-3)-1/(x-2)]+……+[1/(x-100)-1/(x-99)]
=-1/(x-1)+1/(x-100)
=99/[(x-1)(x-100)]