若|ab-2|与|b-1|互为相反数,试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2005)(b+2005)的值.
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![若|ab-2|与|b-1|互为相反数,试求:1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2005)(b+2005)的值.](/uploads/image/z/9956098-10-8.jpg?t=%E8%8B%A5%7Cab-2%7C%E4%B8%8E%7Cb-1%7C%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E8%AF%95%E6%B1%82%EF%BC%9A1%2Fab%2B1%2F%EF%BC%88a%2B1%EF%BC%89%EF%BC%88b%2B1%EF%BC%89%2B1%2F%EF%BC%88a%2B2%EF%BC%89%EF%BC%88b%2B2%EF%BC%89%2B...%2B1%2F%EF%BC%88a%2B2005%EF%BC%89%EF%BC%88b%2B2005%EF%BC%89%E7%9A%84%E5%80%BC.)
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