(1-1/101)*(1-1/102)*(1-1/103)*……*(1-1/110)

问题描述:

(1-1/101)*(1-1/102)*(1-1/103)*……*(1-1/110)

(100/101)*(101/102)*(102/103)*……*(109/110)=10/11

10/11

(1-1/101)*(1-1/102)*(1-1/103)*……*(1-1/110)
=100/101*101/102*102/103*...*109/110
=100/110
=10/11