(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/100方)

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(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/100方)
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(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/100方)
(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/100方)

(1-1/2方)(1-1/3方)(1-1/4方)...(1-1/100方)
(1-1/2²)(1-1/3²)(1-1/4²)…(1-1/99²)(1-1/100²)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3).(1+1/99)(1-1/100)(1+1/100)
=3/2*1/2*4/3*2/3...100/99*99/100*101/100
=(1/2)*(101/100)
=101/200