∵(1/2*3/4*5/6*7/8*....*99/100)²=1/2*1/2*3/4*3/4*5/6*5/6*7/8*7/8*...*99/100*99/100<1/2*2/3*3/4*4/5*5/6*6/7*7/8*8/9*....*99/100=1/100∴1/2*3/4*5/6*7/8*....*99/100<1/10希望能帮到你,祝学习进步O(∩_∩)O