This video provides a tutorial with examples of how to use Maclaurin Series to approximate infinitely differentiable functions about a region where x = 0. It uses nth degree polynomials to create the Maclaurin series and takes the viewer through the process, step by step. Once the Maclaurin Series approximation about x=0 has been generated the viewer is then invited to compare a graph of the function with that approximated by the Maclaurin Series.
Two examples are used to demonstrate the Maclaurin Series Approximation from beginning to end. The first uses a fourth order Maclaurin Series of Sin x and the second uses a fourth order Maclaurin Series of Cos x