Maréchal's Theorem

Maréchal's Theorem states that if you have two functions, say \(f\) and \(g\), and you're interested in their ratio \(f(x)/g(x)\) near a specific point, then the limit of this ratio as \(x\) approaches that point can be found using their derivatives. Specifically, if \(f\) and \(g\) both approach zero or both approach infinity at that point, then the ratio’s limit equals the ratio of their derivatives at that point. This simplifies limit calculations, especially in cases where direct substitution leads to indeterminate forms like 0/0 or ∞/∞.