Section 7.6 Guessing Power Series from Graphs
Activity 7.6.1. Guessing Power Series Coefficients.
In Figure 7.6.1 below, use the sliders to match the given function (shown in green) exactly. Use only graphical reasoning.
When you are done, make a note of any relationship you see between the values of the coefficients and the shape of the graph.
Only three of the sliders need to be set to nonzero values.