Limit of a Function
The limit [latex]l[/latex] of a function [latex]f[/latex] when its variable [latex]x[/latex] approaches a value [latex]x_0[/latex] is the value that [latex]f(x)[/latex] approaches when x approaches [latex]x_0[/latex] without ever reaching it.
Example
- The limit of the function defined by the relationship [latex]f(x)[/latex] = [latex]\dfrac{1}{x}[/latex] is 0, when [latex]x[/latex] approaches infinity.
- The limit of the function defined by the relationship [latex]f(x)[/latex] = log[latex]_2(x)[/latex] is 0, when [latex]x[/latex] approaches 1.