观察下面的变形规律1/(1×2)=1-1/2;1/(2×3)=1/2-1/3;1/(3×4)=1/3-1/4.求1/(1×2)+1/(2×3)+1/(3×4)+……+1/(2011×2012)·
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![观察下面的变形规律1/(1×2)=1-1/2;1/(2×3)=1/2-1/3;1/(3×4)=1/3-1/4.求1/(1×2)+1/(2×3)+1/(3×4)+……+1/(2011×2012)·](/uploads/image/z/439124-68-4.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E9%9D%A2%E7%9A%84%E5%8F%98%E5%BD%A2%E8%A7%84%E5%BE%8B1%2F%281%C3%972%29%3D1-1%2F2%EF%BC%9B1%2F%282%C3%973%29%3D1%2F2-1%2F3%EF%BC%9B1%2F%283%C3%974%29%3D1%2F3-1%2F4.%E6%B1%821%2F%281%C3%972%29%2B1%2F%282%C3%973%29%2B1%2F%283%C3%974%EF%BC%89%2B%E2%80%A6%E2%80%A6%2B1%2F%282011%C3%972012%29%C2%B7)
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