\(=1-2\left(\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{8}-\dfrac{1}{9}\right)\)
\(=1-2\cdot\dfrac{7}{18}=\dfrac{18}{18}-\dfrac{14}{18}=\dfrac{4}{18}=\dfrac{2}{9}\)
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