Asymptotic analysis is a technique used in mathematics to study the behavior of functions as their input values approach certain limits or boundaries. It involves analyzing the limiting behavior of a function as the independent variable approaches a certain value (typically infinity or zero). Asymptotic analysis is particularly useful in studying the efficiency and performance of algorithms, as well as in solving mathematical problems in which exact solutions are difficult to find. By analyzing the asymptotic behavior of functions, researchers can gain insights into the overall trends and characteristics of the functions without needing to know their exact values. Overall, asymptotic analysis provides a powerful tool for understanding the behavior of functions, algorithms, and systems in a variety of mathematical and computational contexts.