设m为整数，且对于任意正整数你，(1+1/2)(1+1/2^2 )•••(1+1/2^n ) 5
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设n为整数，且对于任意正整数，(1+1/2)(1+1/2^2 )•••(1+1/2^n )
(1+1/2)(1+1/2^2 )•••(1+1/2^n )
=(1-1/2)(1+1/2)(1+1/2^2 )•••(1+1/2^n )/(1-1/2)
=(1-1/2^2 )•••(1+1/2^n )*2
=2(1-1/2^2n )
=2-1/2^(2n-1 )
(1+1/2)(1+1/2^2 )•••(1+1/2^n )
=(1-1/2)(1+1/2)(1+1/2^2 )•••(1+1/2^n )/(1-1/2)
=(1-1/2^2 )•••(1+1/2^n )*2
=2(1-1/2^2n )
=2-1/2^(2n-1 )
追问
不对啊，n属于N+，但是解答只包括了1,2,4,16，....
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