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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.
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$endgroup$







  • 1




    $begingroup$
    Possible duplicates: (7559), (130464), (158080), (160684)
    $endgroup$
    – Michael E2
    1 hour 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
    1 hour 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.
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share|improve this question




share|improve this question








edited 3 hours ago









m_goldberg

89k873200




89k873200






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asked 3 hours ago









niknik

61




61




New contributor




nik is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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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
    1 hour ago












  • 1




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







1




1




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




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










1 Answer
1






active

oldest

votes


















2












$begingroup$

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









$endgroup$













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    1 Answer
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    1 Answer
    1






    active

    oldest

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    active

    oldest

    votes






    active

    oldest

    votes









    2












    $begingroup$

    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









    $endgroup$

















      2












      $begingroup$

      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









      $endgroup$















        2












        2








        2





        $begingroup$

        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

        60.7k585171




        60.7k585171




















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