(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)

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(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)
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(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)
(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)

(1-1/100)*(1-1/99)*(1-1/98)*...*(1-1/3)
=(99/100)*(98/99)*(97/98)*……*(3/4)*(2/3)
中间可以约分
=2/100
=1/50

99/100*98/99......2/3=1/50

:(1-1/100)*(1-1/99)*(1-1/98)*。。。*(1-1/3)
=99/100*98/99*97/98*96/97*..*2/3
=2/100
=1/50

原式=99/100x98/99X…x2/3x1/2=1/100

100*99+99*1 100×99+100×1 100+99+98+.+1? 1+2+.+99+100 99+1+100? (100+99*1)+(99+99*2)+(98+99*3)+...+(2+99*99)+(1+99*100) 100+100-99-2+1 100*（100-1）*99 |1/100-1/99|+|1/101-1/100|-|1/100-1/99|=? 计算|1/2-1|+|1/3-1/2|+.+|1/99-1/98|+|1/100-1/99| 求和：|1/2-1|+|1/3-1/2|+.+|1/99-1/98|+|1/100-1/99| |1/2-1|+|1/3-1/2|+.+|1/99-1/98|+|1/100-1/99| 计算:|100/1-99/1|+|101/1-100/1|-|101/1-99/1| ｜1/100-1/99｜+｜1/101-1/100｜-｜1/101-1/99｜ |1/101-1/99|-|1/100-1/99|-|1/100-1/101|＝_____ |1/101-1/99|-|1/100-1/99|-|1/100-1/101|等于多少? |1/101-1/99|-|1/100-1/99|-|1/100-1/101| |1/101-1/99|-|1/100-1/99|-|1/100-1/101|,