# Limit of a Function

## Limit of a Function

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.