数学简算题(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32),

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数学简算题(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32),
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数学简算题(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32),
数学简算题(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32),

数学简算题(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32),
(1+1/5)(1+1/5^2)(1+1/5^4)...(1+1/5^32)
=(1-1/5)(1+1/5)(1+1/5^2)(1+1/5^4)(1+1/5^8)……(1+1/5^32)/(1-1/5)
=(1-1/5^2)(1+1/5^2)(1+1/5^4)(1+1/5^8)……(1+1/5^32)/(1-1/5)
=……
=(1-1/5^64)/(1-1/5)
=4(1-1/5^64)/5