|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011| 计算
问题描述:
|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011| 计算
答
去绝对值,可得 1-1/2+1/2-1/3+1/3-1/4……+1/2011-1/2012=2011/2012.