Guessing Power Series from Graphs

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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.

Figure 7.6.1. An applet for manipulating the individual power series coefficients.

Hint.

Only three of the sliders need to be set to nonzero values.