1/(23)+1/(34)+1/(45)+.+1/(20082009)如何简算

来源：学生作业学帮网编辑：学帮网时间：2024/05/28 13:05:13

1/(2*3)+1/(3*4)+1/(4*5)+.+1/(2008*2009)如何简算

1/2-1/3+1/3-1/4+……+1/2008-1/2009
=1/2-1/2009
=2007/4018

1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1,2,3,4, 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1、2、3、4 1+2+3×4 1,2,3,4 1+2+3+4+.