解:因为
4/5×6/7×8/9×......1000000/1000001<5/盯罩伏6×7/8×9/10......1000001/1000002
所以
(4/5×6/7×8/9×......1000000/1000001)^2<(4/5×6/7×8/9×......1000000/1000001)凯携×(5/6×7/8×9/10......1000001/1000002)
=4/1000002=2/500001<2/500000=1/闷帆250000=(1/500)^2
即 4/5×6/7×8/9×......1000000/1000001<1/500=0.002
0.002大