The limit of the identity function

Instructions
1. Slide the (black) cluster point to learn how the values of the identity funcion [math]f\left(x\right)=x[/math] behave around it.[br]2. Slide both, [math]x_{left}[/math] and [math]x_{right}[/math] towards the cluster point to learn what are the [i]side-limits.[/i]

Information: The limit of the identity function