Explore the definition of the limit
for various values of epsilon including epsilon = 0.1.
Use the following LiveMath Notebook to determine what values of x
makes the function y = |f(x) - 19| - 0.1
less than 0 near a = 2. You can
change the value of epsilon and you can also explore with changing a and the function.
View an animation to see how this can be
Acknowledgment: The first place which the author saw this way to approach
this problem is in Jerry Johnson and Benny Evans' Discovering Calculus with