👉 Limit math is a fundamental concept in calculus that deals with the behavior of functions as the input (or independent variable) approaches a specific value. It helps us understand how functions behave near certain points, especially when dealing with continuity, derivatives, and integrals. The limit of a function f(x) as x approaches a value 'a' is denoted as lim x→a f(x) = L, meaning that as x gets arbitrarily close to 'a', the value of f(x) gets arbitrarily close to L. This concept is crucial for defining derivatives, which measure the rate of change of a function at a point, and for determining the behavior of functions in the vicinity of critical points or singularities. Limits allow us to rigorously analyze and predict function behavior without needing to evaluate the function at the exact point of interest, making it indispensable in calculus and analysis.
