巧算(奥数题)问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)

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巧算(奥数题)问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)巧算(奥数题)问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3

巧算(奥数题)问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)
巧算(奥数题)
问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)

巧算(奥数题)问:(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...(1+1/99)×(1-1/99)
=(1/2)*(3/2)*(2/3)*……*(98/99)*(100/99)
=(1/2)*(100/99)
=50/99