1/2*(2/3)*3/4*(4/5)*5/6*(6/7)*...*99/100 = 1/100上式分解为 A*(2/3*4/5*6/7*...98/99) = 1/100由于 2/3 > 1/2、4/5 > 3/4、.........、98/99 > 97/981 > 2/3*4/5*6/7*...98/99 > A所以 A < 1/10
