(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)怎么做

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(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)怎么做
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(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)怎么做
(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)怎么做

(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)怎么做
1-1/2 =1/2
1/2-1/3 =1/6
1/3-1/4 =1/12
1/4-1/5 =1/20
1/5-1/6 =1/30
∴(1-1/2)*(1/2-1/3)*(1/3-1/4)*(1/4-1/5)*(1/5-1/6)
=1/2*1/6*1/12*1/20*1/30
=1/2*6*12*20*30
=1/86400

原式=(1/(1*2))(1/(2*3))(1/(3*4))(1/(4*5))(1/(5*6))
=1/((1*2*3*4*5)^2 )*6)=1/(120*120*6)=1/86400