1/2+1/4+1/8+1/16+1/1/32+1/64=?
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1/2+1/4+1/8+1/16+1/1/32+1/64=?
1/2+1/4+1/8+1/16+1/1/32+1/64=?
1/2+1/4+1/8+1/16+1/1/32+1/64=?
1/2+1/4+1/8+1/16+1/32+1/64
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64
=1/2+1/4+1/8+1/16+1/32+1/32-1/64
=...
=1-1/64
=63/64.