4/5×6/7×8/9×10/11×12/13×14/15.×1000000/1000001

问题描述:

4/5×6/7×8/9×10/11×12/13×14/15.×1000000/1000001
与0.002比较大小

设A=4/5×6/7×8/9×10/11×12/13×14/15……×1000000/1000001则A=(4×6×8×10×……×1000000)/(5×7×9×11×……×1000001)B=0.002B/A=1000001!/{500×6×(500000!)^2}=500001×500002×500003×……×1000001/...