作业帮|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+.+|1/2010-1/2009|=?请详细的回答下．谢谢～
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 19:26:02
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+.+|1/2010-1/2009|=?请详细的回答下．谢谢～
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+.+|1/2010-1/2009|=?请详细的回答下．谢谢～
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+.+|1/2010-1/2009|=?请详细的回答下．谢谢～
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+|1/6-1/5|+.+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6.+1/2009-1/2010
=1/2-1/2010
=502/1005
原式=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6......+1/2009-1/2010=1/2-1/2010=502/1005