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For x>1x > 1x>1, define f(x)=∏n=2∞(1−1nx)\displaystyle f(x) = \prod_{n=2}^{\infty} \left(1 - \dfrac{1}{n^x}\right)f(x)=n=2∏∞(1−nx1).
Find the value of f(6)f2(3)\dfrac{f(6)}{f^2(3)}f2(3)f(6).
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