Asymptotic analysis

Description of limiting behavior of a function

In mathematical analysis, asymptotic analysis, also known as asymptotics, is the development and application of methods that generate an approximate analytical solution to a mathematical problem when a variable or parameter assumes a value that is large, small or near a specified value. An example of asymptotic analysis is function approximation. For example, the function y ~ ( x) = x {\textstyle {\widetilde {y}}(x)=x} accurately approximates the function y ( x) = x + e − x {\textstyle y(x)=x+e^{-x}} for large positive x {\textstyle x} values (Figure 1).

From Wikipedia, under CC BY-SA. More on occurri.