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Question: Evaluate series expansion

Question:Evaluate series expansion

Stretto 245 Maple
eval substitution series
November 21 2019
0

simplify(series(sin(g(x)),x=0,4));

 

sin(g(0)) + cos(g(0))*D(g)(0)*x + (-1/2*sin(g(0))*D(g)(0)^2 + 1/2*cos(g(0))*(D@@2)(g)(0))*x^2 + (1/6*(-D(g)(0)^3 + (D@@3)(g)(0))*cos(g(0)) - 1/2*sin(g(0))*(D@@2)(g)(0)*D(g)(0))*x^3 + :-O(1)*x^4

 

and I'd like to give the various values for g to evaluate the series. That is, I know g and it's derivatives at 0.
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