L'Hôpital's Rule

L'Hôpital's Rule is a mathematical method to evaluate certain limits, especially when direct substitution results in indeterminate forms like 0/0 or ∞/∞. It states that, under appropriate conditions, the limit of a ratio of two functions can be found by differentiating their numerator and denominator separately and then taking the limit of that new ratio. Essentially, it helps simplify complex limits by replacing the original problem with a related, often easier, one involving derivatives. This process frequently makes resolving difficult limits more straightforward.