作业帮|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 01:57:16
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|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
|1/3-1/2|+|1/4-1/3|1/5-1/4|+……+|1/100-1/99|
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/99-1/100
=1/2-1/100
=49/100