Question: How can I obtain the taylor series or expansion of a large expression without having the gigantic memory?

In the name of God


Dear my friends

Hi

I want to calculate the high-order approximant of taylor series or expansion of f(x) as followings;

g:=taylor(f(x),x=1,60);

g:=expand(f(x));

in which f(x) is a very large expression with respect to x. for example, assume that

f:=x->sum(n*x*sin(n*x),n=1..1000);
g:=taylor(f(x),x=1..60);
Above commands take a large amount of memory, so as windows is compelled using the virtual memory to compensate lacking its memory; therefore, Maple becomes so sluggish.

 
How can I obtain the taylor series or expansion of a large expression without having the gigantic memory?

 Best regards

 

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