(1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800)

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(1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800)
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(1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800)
(1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800)

(1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800)
Prod_{i=2}^{i=99}(i^2/(i+1)(i-1))=2/100=1/50