1/4096+1/2048+1/1024.1/4+1/2

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1/4096+1/2048+1/1024.1/4+1/2

设T=1/4096+1/2048+1/1024.1/4+1/2
则2T=1/2048+1/512+.+1/2+1
=1/2048+1/512+.+1/2+(1/4096+4095/4096)
=(1/2048+1/512+.+1/2+1/4096)+4095/4096
=T+4095/4096
T=4095/4096
即1/4096+1/2048+1/1024.1/4+1/2 =4095/4096