2019减去它的1/2,即:2019-2019×1/2=2019(1-1/2);
再减去它的1/3,即:2019×(1-1/2)-2019×(1-1/2)×1/3=2019×(1-1/2)×(1-1/3);
以此类推,一直减到2019,算式就是:
2019×(1-1/2)×(1-1/3)×……×(1-1/2019)
=2019×1/2×2/3×……×2018/2019
=2019×1/2019
=1
直接写出来啊,2019-1/2*2019-1/2*2019*1/3依次减下去
=2019×(1-1/2)(1-1/3)(1-1/4)……(1-1/2019)
=2019×1/2×2/3×3/4×……×2018/2019
=2019×1/2019
=1