(1-1/2)*(1+1/2)*(1-1/3)*(1+1/3)*(1-1/4)*(1+1/4)*.*(1-1/2000)*(1+1/2000)
问题描述:
(1-1/2)*(1+1/2)*(1-1/3)*(1+1/3)*(1-1/4)*(1+1/4)*.*(1-1/2000)*(1+1/2000)
求在半个小时之内解答!
答
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……*(1-1/2000)*(1+1/2000)
=(1/2)(3/2)(2/3)(4/3)……(1999/2000)*(2001/2000)
中间约分
=(1/2)(2001/2000)
=2001/4000
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