TINH NHANH
\(\Rightarrow C=\left(-\dfrac{3}{4}\right)\cdot\left(-\dfrac{8}{9}\right)\cdot\left(-\dfrac{15}{16}\right)\cdot\cdot\cdot\cdot\left(-\dfrac{399}{400}\right)\)
\(=-\left(\dfrac{3}{4}\cdot\dfrac{8}{9}\cdot\dfrac{15}{16}\cdot\cdot\cdot\cdot\dfrac{399}{400}\right)\)
\(=-\left(\dfrac{1\cdot3}{2\cdot2}\cdot\dfrac{2\cdot4}{3\cdot3}\cdot\dfrac{3\cdot5}{4\cdot4}\cdot\cdot\cdot\cdot\dfrac{19\cdot21}{20\cdot20}\right)\)
\(=-\left(\dfrac{1\cdot2\cdot3\cdot4\cdot...\cdot19}{2\cdot3\cdot4\cdot...\cdot20}\cdot\dfrac{3\cdot4\cdot5\cdot...\cdot21}{2\cdot3\cdot4\cdot...\cdot20}\right)\)
\(=-\left(\dfrac{1}{20}\cdot\dfrac{21}{2}\right)=-\dfrac{21}{40}\)
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