1题2008/2009乘以2008-20072题(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以.(1-1/99)乘以(1-1/100)

问题描述:

1题2008/2009乘以2008-20072题(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以.(1-1/99)乘以(1-1/100)

(1-1/2)乘以(1-1/3)=1/2乘以2/3=1/3(1-1/2)乘以(1-1/3)乘以(1-1/4)=1/2乘以2/3乘以3/4=1/4(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以(1-1/5)=1/2乘以2/3乘以3/4乘以4/5=1/5······依此类推:(1-1/2)...