asymptotic
adj.adj. describing a line or curve that gets closer and closer to another line but never actually touches it. In math, it also describes a value that gets very close to a limit as it grows.
adj. relating to a line or curve that approaches a given line or curve arbitrarily closely as they extend toward infinity. In computational complexity, it describes the limiting behavior of functions as the input size grows.
The two lines are asymptotic and will never meet.
In calculus, we study how the function behaves as it approaches an asymptotic limit at the edge of the graph.
The algorithm's performance is asymptotic to O(n log n), meaning that as the dataset grows, the time required increases at a rate proportional to the logarithm of the input size.
From asymptote + -ic.