1/2+1/4+1/8+1/16+1/64+1/128+1/256+1/512=多少我急_其他解答

1/2+1/4+1/8+1/16+1/64+1/128+1/256+1/512=多少
我急

人气：171 ℃　时间：2019-12-13 17:25:40

解答

令T=1/2+1/4+1/8+1/16+1/64+1/128+1/256+1/512则2T=1+1/2+1/4+1/8+1/16+1/64+1/128+1/256T=2T-T=(1+1/2+1/4+1/8+1/16+1/64+1/128+1/256)-(1/2+1/4+1/8+1/16+1/64+1/128+1/256+1/512)=1+1/2+1/4+1/8+1/16+1/64+1/128+...