计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 12:43:38
计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)计算:(1/2-1)(1/3-1)(1/4-1)…(1/20

计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)
计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)

计算:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1)
1/2到1/2009有2008项,所以:(1/2-1)(1/3-1)(1/4-1)…(1/2009-1) =(1-1/2)(1-1/3)(1-1/4)…(1-1/2009) =(1/2)(2/3)(3/4)…(2007/2008)(2008/2009) =1/2009