Skip to main content\(\newcommand{\deriv}[2]{\displaystyle \frac{d#1}{d#2}}
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The red curve is the graph of
\(f(x) = \sin(x)\) and the blue curve is the graph of the Taylor polynomial
\(p_3(x)= x - \frac{x^3}{6}\text{.}\) Use the slider to change the value of
\(x\) and see how the error changes for different values of
\(x\text{.}\) Note that for the slider values have been limited to fit the page.