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JEE MAIN 2026
08-04-2026_S2
Question
Let $f$ be a polynomial function such that $\log _2(f(x))=\left(\log _2\left(2+\frac{2}{3}+\frac{2}{9}+\ldots \ldots \infty\right)\right) \cdot \log _3\left(1+\frac{f(x)}{f(1 / x)}\right), x>0 \quad$ and $\quad f(6)=37$. Then $\sum_{n=1}^{10} f(n)$ is equal to $\_\_\_\_$ .
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