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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.

Figure 8.4.1. An applet for manipulating the individual power series coefficients.
Answer.

Coming soon.