Question: Difference between ratpoly and taylor

Cheers!

Here is what I have done in Maple 11:

st:=taylor(sin(x),x=0,10):

sint:=convert(st,polynom)

sinr:=convert(taylor(sin(x),x=0,10,ratpoly))

plot([sin(x),sint,sinr],x=-6..6,-2..2,color=[red,navy,gold])

My question is how theoraticly do you convert a series into a rational polynom?

Mario

 

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