(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16),要过程,谢谢啦
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原式=2×(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^4)(1+1/2^4)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^8)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^16)(1+1/2^16)
=2×(1-1/2^32)
=(2^32-1)/2^31
=2×(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^4)(1+1/2^4)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^8)(1+1/2^8)(1+1/2^16),
=2×(1-1/2^16)(1+1/2^16)
=2×(1-1/2^32)
=(2^32-1)/2^31
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