观察 1/1*2+1/2*3==(1-1/2)+(1/2-1/3)=1-1/3=2/3 ,计算2/(x+1)(x+3)+2/(x+3)(x+5)+...+2/(x+2003)(x+2005)观察 1/1*2+1/2*3=(1-1/2)+(1/2-1/3)=1-1/3=2/3 , 计算2/(x+1)(x+3)+2/(x+3)(x+5)+...+2/(x+2003)(x+2005)
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