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Plotting a Maclaurin series



Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)
Announcing the arrival of Valued Associate #679: Cesar Manara
Unicorn Meta Zoo #1: Why another podcast?Normal[Series[ ]] does not give a normal expressionPlot Series of Exp(x) about x=0 to order 12Plotting a few Maclaurin Series in MathematicaPlotting an infinite seriesPolynomial with alternating sign coefficients from the odd degree terms of a Truncated Power SeriesPuiseux series for algebraic curvesPlotting a Taylor series of Partial sumMaclaurin Series - TablePlotting a Taylor Series of two-variable trigonometric functionDefining Valuation over Puiseux SeriesPlotting an infinite seriesPlotting a few Maclaurin Series in MathematicaProblem plotting partial sum of a Fourier seriesPlotting an association key corresponding to the maximum value










1












$begingroup$


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.










share|improve this question









New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    Possible duplicates: (7559), (130464), (158080), (160684)
    $endgroup$
    – Michael E2
    2 hours ago















1












$begingroup$


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.










share|improve this question









New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    Possible duplicates: (7559), (130464), (158080), (160684)
    $endgroup$
    – Michael E2
    2 hours ago













1












1








1





$begingroup$


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.










share|improve this question









New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




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.







plotting series-expansion






share|improve this question









New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 3 hours ago









m_goldberg

89k873200




89k873200






New contributor




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asked 4 hours ago









niknik

61




61




New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 1




    $begingroup$
    Possible duplicates: (7559), (130464), (158080), (160684)
    $endgroup$
    – Michael E2
    2 hours ago












  • 1




    $begingroup$
    Possible duplicates: (7559), (130464), (158080), (160684)
    $endgroup$
    – Michael E2
    2 hours ago







1




1




$begingroup$
Possible duplicates: (7559), (130464), (158080), (160684)
$endgroup$
– Michael E2
2 hours ago




$begingroup$
Possible duplicates: (7559), (130464), (158080), (160684)
$endgroup$
– Michael E2
2 hours ago










1 Answer
1






active

oldest

votes


















3












$begingroup$

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]


enter image description here






share|improve this answer









$endgroup$












  • $begingroup$
    Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
    $endgroup$
    – Bob Hanlon
    23 mins ago











Your Answer








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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









3












$begingroup$

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]


enter image description here






share|improve this answer









$endgroup$












  • $begingroup$
    Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
    $endgroup$
    – Bob Hanlon
    23 mins ago















3












$begingroup$

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]


enter image description here






share|improve this answer









$endgroup$












  • $begingroup$
    Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
    $endgroup$
    – Bob Hanlon
    23 mins ago













3












3








3





$begingroup$

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]


enter image description here






share|improve this answer









$endgroup$



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]


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 3 hours ago









Henrik SchumacherHenrik Schumacher

60.8k585171




60.8k585171











  • $begingroup$
    Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
    $endgroup$
    – Bob Hanlon
    23 mins ago
















  • $begingroup$
    Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
    $endgroup$
    – Bob Hanlon
    23 mins ago















$begingroup$
Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
$endgroup$
– Bob Hanlon
23 mins ago




$begingroup$
Plotting over a wider range will highlight the differences. Plot[f, p, x, -4, 4, PlotRange -> -3, 3, PlotLegends -> Placed["function", "polynomial", .7, .7]]
$endgroup$
– Bob Hanlon
23 mins ago










nik is a new contributor. Be nice, and check out our Code of Conduct.









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nik is a new contributor. Be nice, and check out our Code of Conduct.












nik is a new contributor. Be nice, and check out our Code of Conduct.











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