(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简便运算]

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(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简便运算](1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简

(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简便运算]
(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简便运算]

(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100){要简便运算]
(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/99)*(1+1/100)
=(3/2)*(4/3)*(5/4)*(6/5)*...*(101/100)
=101/2