2019(1-1/2)(1-1/3)(1-1/4)……(1-1/2019)=？？的计算方法

更新时间2020-12-07 04:11:25

解：

2019(1-1/2)(1-1/3)(1-1/4)……(1-1/2019)

=2019×(1/2×2/3×3/4............................×2018/2019)

=2019×(1/3×3/4×..................................×2018/2019)

=2019×1/2019

=1