初中数学中找规律的计算题,小弟感激不尽!
3个回答

(1-1/2²)(1-1/3²)(1-1/4²)…(1-1/9²)(1-1/10²)

=(1+1/2)(1-1/2)(1+1/3)(1-1/3)...(1+1/9)(1-1/9)(1+1/10)(1-1/10)

=(3/2)(1/2)(4/3)(2/3)...(10/9)(8/9)(11/10)(9/10)

=(3/2)(4/3)(5/4)..(11/10)(1/2)(2/3)...(8/9)(9/10)

=(11/2)(1/10)

=11/20;

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