1/(x-1)x+1/x(x+1)+.+1/(x+9)(x-10)=?_数学解答

1/(x-1)x+1/x(x+1)+.+1/(x+9)(x-10)=?

人气：239 ℃　时间：2020-07-01 17:32:38

解答

1/(X-1)X=1/(X-1)-1/X
1/X(X+1)=1/X-1/(X+1)
所以
原式=1/(X-1)-1/X+1/X-1/(X-1).-1/(X+10)
=1/(X-1)-1/(X+10)