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解(1-2^x)^9展開式的第三項為36*2^(2x) 則36*2^(2x)=288解得x=3/2 所以lim[1/x+1/x²;+…+1/(x的n次幂)]=(1/x)/(1-1/x)=(2/3)/(1-2/3)=2
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