# Continuity and Limits

- Author:
- Jesse Parete

- Topic:
- Continuity, Limits

This applet helps illustrate two ideas for a beginning calculus cdourse. The first is to illustrate points of discontinuity. There
points of removable discontinuity at -9 and -7. There is a non-removable point of discontinuity at 0. By using the sliders to chose values for δ and ε you can illustrate that the definition for the existence of a limit at zero is not met.

Does the limit exist at x=0? Find the points of discontinuity.