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