👉 Asymptotic analysis, or asymptotic behavior in mathematics, is a method used to describe the limiting behavior of functions as the input size grows without bound. It focuses on understanding how functions scale or behave when the input becomes very large, typically expressed using Big O notation, which provides an upper bound on this growth rate. This analysis helps in comparing the efficiency of algorithms by predicting their performance in terms of time and space complexity as the input size increases. By identifying the dominant terms and ignoring lower-order effects, asymptotic analysis simplifies complex functions, making it easier to analyze and predict the performance of algorithms in practical scenarios.
