Consider the function

Illustrate graphically the epsilon-delta definition of limits to show that **f** is not continuous at **x = 0**.

At first glance, the following graph seems to show that **f** is continuous
at **x = 0**.

However, after zooming in several times, the following graph provides evidence
that **f** is not continuous at **x = 0**. The rectangle in this graph
corresponds to choosing **epsilon = 0.001**.

These graphs were generated by Microcalc.

For this visualization, we have detailed instructions for the following software packages: