Section 8.4 Power Series: Exploration
Activity 8.4.1. Guessing Power Series Coefficients.
In Figure 8.4.1 below, use the sliders to match the given function (shown in green) exactly. Use only graphical reasoning. Hint: Only three of the sliders need to be set to nonzero values.
When you are done, make a note of any relationship you see between the values of the coefficients and the shape of the graph.