Taylor Series

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@interact

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def _(N=(24,1,-1)):

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    var('x'); f=sin(x)*exp(1)^(-x)

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    p=plot(f,-1,6,thickness=5,color='#3636ff',alpha=.5)+\

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    sum([plot(f.taylor(x,0,i),-1,6,hue=cos(i/24),thickness=1,

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              legend_label=str(i)) for i in [1..N]])

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    ti=r'$Taylor \ Series \ f=sin \ x \cdot e^{-x}$'

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    p.show(ymin=-.5,ymax=.5,figsize=(5.5,5),

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           gridlines=True,title=ti,fontsize=12)

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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