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Differentiation

JEE Main 2023 (Online) 13th April Evening Shift

INTEGER+4 / -12023

Let \(f(x)=\sum_\limits{k=1}^{10} k x^{k}, x \in \mathbb{R}\). If \(2 f(2)+f^{\prime}(2)=119(2)^{\mathrm{n}}+1\) then \(\mathrm{n}\) is equal to ___________

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