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(1)
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(2)
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(3)
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(4)
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(5)
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![T[1] := convert(taylor(sin(x), x = 0, 2), polynom); 1](images/sin_1.gif){kind=small}
![T[3] := convert(taylor(sin(x), x = 0, 4), polynom); 1](images/sin_3.gif){kind=small}
![T[5] := convert(taylor(sin(x), x = 0, 6), polynom); 1](images/sin_5.gif){kind=small}
![T[13] := convert(taylor(sin(x), x = 0, 14), polynom); 1](images/sin_7.gif){kind=small}
![T[29] := convert(taylor(sin(x), x = 0, 30), polynom); 1](images/sin_9.gif){kind=small}
![plot([sin(x), T[1], T[3], T[5], T[13], T[29]], x = -10 .. 10, y = -2 .. 2)](images/sin_14.gif){kind=small}
