1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)……1/(a+2009)(a+2010)怎么解_数学解答

1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)……1/(a+2009)(a+2010)怎么解

人气：144 ℃　时间：2020-02-01 05:51:36

解答

原式=1/a-1/(a+1)+1/(a+1)-1/(a+2)+……+1/(a+2009)-1/(a+2010)
=1/a-1/(a+2010)
=2010/a(a+2010)