This interactive page is intended to demonstrate the definition of the limit of a sequence. There are four sequences to choose from.

- \(\{(0.9)^ne^{\frac{2\pi i}{n}}\}\)
- \(\{(-1)^n\times (0.01+(0.9)^ne^{\frac{n\pi i}{20}})\}\)
- \(\{(-1)^n\times ((0.9)^ne^{\frac{n\pi i}{20}})\}\)
- \(\{\frac{n^3-i}{n^3+i}\}\)

- Zoom in or out, by pressing the appropriate buttons.
- Use the slider (or in older browsers) the drop down list to reduce the radius of the yellow disc by the chosen factor.
- Press `Show sequence` to see terms of the sequence plotted.
- Press `Animate` to see terms of the sequence plotted while \(\epsilon\) decreases and we zoom in.
- Press 'Stop' to stop the plotting.
- Press 'Reset' to return to the initial state.
- Choose the sequence to be plotted from the list.
- Press show next to show just the next few terms of the sequence - the number can be selected from the drop down list.