1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/100

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1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/1001/2乘2/3乘3/4乘⋯⋯乘98/99乘99/1001/2乘2/3乘3/4乘⋯

1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/100
1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/100

1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/100
1/2乘2/3乘3/4乘⋯⋯乘98/99乘99/100
=1/2×2/3×3/4...×98/99×99/100
=1/100