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Section 6.8 Practice Your Plots

Activity 6.2.

The Taylor series for \(\sin{(x)}\) is
\begin{equation*} x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \frac{x^9}{9!} - \frac{x^11}{11!} + - ... \end{equation*}
Produce a figure similar to the one below (or nicer - you might use varying line styles if you wish), that contains the graph of the function \(\sin{(x)}\) along with graphs of the Taylor series expansion of \(\sin{(x)}\) with one, two, and five terms. Label the axes and display a legend.