<sageplot>

<figure>
     <caption>
         Fifth Taylor approximation of <m>\sin x</m> on <m>[0,\pi]</m>.
     </caption>
     <image xml:id="Taylor-polynomials" width="65%">
         <description>
           <p>Plot of <m>\sin x</m> and 5th Taylor polynomial
           on <m>[0,\pi].</m></p>
         </description>
         <sageplot>
           f(x) = sin(x)
           T(x) = x - x^3/6 + x^5/factorial(5)
           actual = plot(f, (x, 0, pi), color='blue', thickness=2)
           approximation = plot(T, (x, 0, pi), color='red', thickness=2)
           actual + approximation
         </sageplot>
     </image>
 </figure>