a) `A=1/2-1/4+1/8-1/16+1/32-1/64`
`=> 2A=1-1/2+1/4-1/8+1/16-1/32`
`=> 2A+A=(1-1/2+1/4-1/8+1/16-1/32)+(1/2-1/4+1/8-1/16+1/32-1/64)`
`=> 3A=1-1/64<1`
`=> A<1/3`
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