计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 22:37:45

计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急
计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急

计算(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1) 急
(1/2-1)×(1/3-1)×(1/4-1)×...×(1/2010-1)×(1/2011-1)*(1/2012-1)
=(-1/2)*(-2/3)*(-3/4)×...×(-2010/2011)*(-20111/2012)
=1/2012