Objectives Defined:

The goal of this lab is to establish a visual and conceptual understanding of the convergence/divergence of Taylor Polynomials. Although there are some significant notational elements scattered throughout the module, the focus is on the dynamics of convergence.  We shall achieve this goal by:

1. Deriving several approximating Taylor/Maclaurin Polynomials.

2. Utilizing the power of animation to "see" the convergence of approximating polynomials.

3. Discussing "interval of convergence" and overall behavior.

4. Working through specific numerical examples.

5. Reviewing all concepts presented through Student Practice Problems.