证明1/2+1/2²+1/2³+...+1/2n次方=1-1/2n次方

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解法1：根据图形,容易得出1/2=1-1/2=1/21/2+(1/2)^2=1-(1/2)^21/2+(1/2)^2+(1/2)^3=1-(1/2)^3………………1/2+(1/2)^2+(1/2)^3+……+(1/2)^n=1-(1/2)^n,……（1）当n→+∞时,（1）式→1 解法2：1/2,(1/2)^2,(1/2)^3,...