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Cell[TextData[{
  "Physics 374\nFall 2004\nProf. E. F. Redish\n   \n     Use ",
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  " to expand f(x) = ",
  Cell[BoxData[
      \(TraditionalForm\`\(\[ExponentialE]\^\(3  x\) - 2\)\/\(100 - \
x\^2\)\)]],
  " in a Taylor series about x = 0.  Define three functions:  one[x_], \
two[x_], and three[x_], to give the percent error between the real f(x) and \
its Taylor expansion using only terms up to and including O(",
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  "), and O(",
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  "), respectively.  Compare these three functions' outputs for each of three \
test values: x = .1, x = .5, and x = 1.0.  Explain why your results make \
sense.\n\n\tBe sure to include a print-out of your function definitions and \
the nine computations (i.e. one[.1]. two[.1], three[.1], one[.5], etc.).  \
Please make it neat. Errors almost inevitably occur when doing these \
computations. It's best to do your work in a \"scratch notebook\" and then \
open a new \"final draft\" notebook and cut and paste just the relevant \
things into the one to print out.  Alternatively, you may make your printout \
by hand...meaning you copy exactly the code you used and give the nine \
computations' results.\n\t\n(Problem by T. Bing)"
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