Illustration of epsilon neighbourhood for limits
- Author:
- Toscho
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 $f(x)=\frac{1}{x}$!