1/2-(1/2-1/4)-(1/4-1/8)-……-(1/512-1/1024)
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![1/2-(1/2-1/4)-(1/4-1/8)-……-(1/512-1/1024)](/uploads/image/z/2518451-35-1.jpg?t=1%2F2-%281%2F2-1%2F4%29-%281%2F4-1%2F8%29-%E2%80%A6%E2%80%A6-%EF%BC%881%2F512-1%2F1024%EF%BC%89)
1/2-(1/2-1/4)-(1/4-1/8)-……-(1/512-1/1024)
1/2-(1/2-1/4)-(1/4-1/8)-……-(1/512-1/1024)
1/2-(1/2-1/4)-(1/4-1/8)-……-(1/512-1/1024)
=1/2-1/2+1/4-1/4+1/8……-1/512+1/1024
=1/1024
裂项相消,