Let \(f:R\to R\) be a polynomial function of degree four having extreme values at \(x=4\) and \(x=5\). If \(\lim _{x\to …

Let \(f:R\to R\) be a polynomial function of degree four having extreme values at \(x=4\) and \(x=5\). If \(\lim _{x\to 0}\frac{f(\mathrm{x})}{{\mathrm{x}}^{2}}=5\), then \(f(2)\) is equal to :

[JEE Main 2025, 7 Apr (Shift 2)]