1/2x4+1/4x6+1/6x8+……+l/48x50

来源：学生作业帮助网编辑：六六作业网时间：2024/11/25 22:19:13

1/2x4+1/4x6+1/6x8+……+l/48x501/2x4+1/4x6+1/6x8+……+l/48x501/2x4+1/4x6+1/6x8+……+l/48x50原式=1/4x(1/1x2+1/

1/2x4+1/4x6+1/6x8+……+l/48x50
1/2x4+1/4x6+1/6x8+……+l/48x50

1/2x4+1/4x6+1/6x8+……+l/48x50
原式=1/4x(1/1x2+1/2x3+1/3x4+.+1/24x25)
=1/4x(1-1/2+1/2-1/3+1/3-1/4+.+1/24-1/25)
=1/4x(1-1/25)
=6/25