The limit \(l\) of a function \(f\) when its variable \(x\) approaches a value \(x_0\) is the value that \(f(x)\) approaches when

*x*approaches \(x_0\) without ever reaching it.### Example

- The limit of the function defined by the relationship \(f(x)\) = \(\dfrac{1}{x}\) is 0, when \(x\) approaches infinity.
- The limit of the function defined by the relationship \(f(x)\) = log\(_2(x)\) is 0, when \(x\) approaches 1.