The intuitive concept of a limit

The limit describes the tendential behaviour of a function: where $f(x)$ “goes” when $x$ approaches a point (or infinity), independently of the value the function takes at that point. By combining the two ways in which $x$ can tend (towards a finite number or towards infinity) and the two ways in which $f(x)$ can tend, one obtains the four fundamental cases.

• Intuitive definition of a limit
• The four fundamental cases