HOC24
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\(x:\left(\dfrac{-1}{2}\right)^3=\dfrac{-1}{2}\)
\(x=\dfrac{-1}{2}.\left(\dfrac{-1}{2}\right)^3\)
\(x=\dfrac{-1}{2}.\dfrac{-3}{6}\)
\(x=\dfrac{3}{12}\)
\(x=\dfrac{1}{4}\)
Đặt \(A=\dfrac{4}{2.4}+\dfrac{4}{4.6}+\dfrac{4}{6.8}+...+\dfrac{4}{2008.2010}\)
\(A=4.\dfrac{1}{2}.\left(\dfrac{2}{2.4}+\dfrac{2}{4.6}+\dfrac{2}{6.8}+...+\dfrac{2}{2008.2010}\right)\)
\(A=2.\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+...+\dfrac{1}{2008}-\dfrac{1}{2010}\right)\)
\(A=2.\left(\dfrac{1}{2}-\dfrac{1}{2010}\right)\)
\(A=1-\dfrac{2}{2010}\)
\(A=1-\dfrac{1}{1005}\)
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