2008×(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2008)
=2008×1/2×2/3×3/4×...×2007/2008
=2008×1/2008
=1
×(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/2008)
分别是求的减老银去1/2后、减去迅含脊1/3后。。。。。减去剩下的1/2008后的结果,然后分亩渗别约分,最后就只剩下了2008的1/2008了。
2008×(1-1/2)×(1-1/3)誉圆×(1-1/4)×...×(1-1/2008)
=2008×1/数基2×2/3×3/4×...×2007/2008
=2008×1/庆毕塌2008
=1
2008×(1-1/2)×(1-1/3)×(1-1/搜仔4)×……×(1-1/弯颤2008)
=2008×1/2×2/3×3/4×……×2007/2008
=(1×2×3×……×2007×2008)/(2×3×4×…埋漏败…×2007×2008)
=1