Can anyone plot the degree-8 Maclaurin polynomial for the function $(x+1)/((x^2)-9)$ and function $(x+1)/((x^2)-9)$ on the same plot.
Please help, I've tried everything I could think of.
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1$\begingroup$ Possible duplicates: (7559), (130464), (158080), (160684) $\endgroup$– Michael E2Apr 22, 2019 at 1:17
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1 Answer
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The problem is probably that Series returns a SeriesData object. It must be converted to a polynomial with Normal before it can be plotted.
f = (x + 1)/((x^2) - 9);
p = Normal[Series[f, {x, 0, 8}]]
Plot[{f, p}, {x, -2, 2}]
answered Apr 21, 2019 at 23:51
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1$\begingroup$ Plotting over a wider range will highlight the differences.
Plot[{f, p}, {x, -4, 4}, PlotRange -> {-3, 3}, PlotLegends -> Placed[{"function", "polynomial"}, {.7, .7}]]$\endgroup$ Apr 22, 2019 at 3:04