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Summer Clouds moderators

28/06/2017 at 09:06
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Calculate:
 \(\dfrac{1}{2}+\dfrac{-1}{3}+\dfrac{1}{4}+\dfrac{-1}{5}+\dfrac{1}{6}+\dfrac{-1}{7}+\dfrac{1}{8}+\dfrac{1}{7}+\dfrac{-1}{6}+\dfrac{1}{5}+\dfrac{-1}{4}+\dfrac{1}{3}+\dfrac{-1}{2}\).




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    Lê Quốc Trần Anh Coordinator 28/06/2017 at 09:15

    \(=\left(\dfrac{1}{2}+\dfrac{-1}{2}\right)+\left(\dfrac{-1}{3}+\dfrac{1}{3}\right)+\left(\dfrac{1}{4}+\dfrac{-1}{4}\right)+\left(\dfrac{-1}{5}+\dfrac{1}{5}\right)+\left(\dfrac{1}{6}+\dfrac{-1}{6}\right)+\left(\dfrac{-1}{7}+\dfrac{1}{7}\right)+\dfrac{1}{8}\)

    \(=0+0+0+0+0+0+\dfrac{1}{8}\)

    \(=\dfrac{1}{8}\)

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