# Illustration of epsilon neighbourhood for limits

Author:
Toscho
Topic:
Limits
The applet shows the epsilon neighbourhood of the limit for a function and a sequence with the same definition. The parts inside the epsilon neighbourhood are marked bold / blue. The numbers GW (limit), epsilon and the function definition of f(x) can be changed.
Determine the limit of the function $f(x)=\sin(\pi\cdot x)$ and the sequence $a_n=\sin(\pi\cdot n)$ Compare your results with other functions such as $f(x)=\sin x$ or $f(x)=\frac{1}{x}$!