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Mathematics · 2023

JEE Main · 13 April 2023, Shift 2 · Q25

Let f(x)=Σ_k=1^10 k x^k, x ∈ R. If 2 f(2)+f^′(2)=119(2)^n +1 then n is equal to ____

Let $\displaystyle f(x)=\sum_{k=1}^{10} k x^k, x \in \mathbb{R}$. If $\displaystyle 2 f(2)+f^{\prime}(2)=119(2)^{\mathrm{n}}+1$ then n is equal to $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.