*Problem:*

Find a **d** that satisfies the definition of the
limit of
**
f(x) = x**^{2} - 8x + 4
as **x** approaches **a = 4.4** for various values of epsilon
starting with **e = 0.5**.

*Visualization:*

In the following LiveMath Notebook, you can see the graph of **y = f(x)** in blue,
the graphs of **y = L + e** and **y = L - e** in red and the graphs of
**x = a + d** and **x = a - d** in green.
Start with **a = 4.4** and **e = 0.5** and then find out which **d** would satisfy
the definition of limit. Next, try different values for **e** and find the corresponding **d**'s.
Change the values of **e** and then find out which **d** would satisfy the definition of limit.
Click here if you would
like to see more information about using a notebook similar to the following
notebook.
Explore with changing **a**; consider **a = 6, 8, 16** and using the same epsilon's. Can you detect a pattern?

**Acknowledgment:** This notebook is a modification of a similar notebook
in the MathView User's Guide.