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Mathematics · 2026

JEE Main · 2 April 2026, Shift 2 · Q18

Let f(x) be a polynomial of degree 5, and have extrema at x=1 and x=-1. If lim_x → 0((f(x))/x^3)=-5, then f(2)-f(-2) is equal to:

Let $\displaystyle f(x)$ be a polynomial of degree $\displaystyle 5$ , and have extrema at $\displaystyle x=1$ and $\displaystyle x=-1$. If $\displaystyle \lim _{x \rightarrow 0}\left(\frac{f(x)}{x^3}\right)=-5$, then $\displaystyle f(2)-f(-2)$ is equal to :
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.