(1-1/2) (1+1/2) (1-1/3) (1+1/3) …… (1-1/100) (1+1/100)过程和答案

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(1-1/2) (1+1/2) (1-1/3) (1+1/3) …… (1-1/100) (1+1/100)过程和答案
(1-1/2) (1+1/2) (1-1/3) (1+1/3) …… (1-1/100) (1+1/100)过程和答案

(1-1/2) (1+1/2) (1-1/3) (1+1/3) …… (1-1/100) (1+1/100)过程和答案

将加的相乘 再乘以 减的相乘
(1+1/2)(1+1/3)(1+1/4)……(1+1/100)×(1-1/2)(1-1/3)(1-1/4)……(1-1/100)
=3/2*4/3*5/4……101/100×1/2*2/3*3/4*……*99/100
=101/2×1/100
=101/200