How can I sum a number of terms as a polynomial?

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Gabriel
Gabriel 2023-8-20
编辑： Walter Roberson 2023-8-20
My code performs the individual calculation of each term of my polynomial, which is not exactly a polynomial, however, I need it to output the total sum of all these terms, I have no idea what to do. In my code x is the input, I have been using 1 to facilitate the calculations, and n is the number of terms that must be added to my final result:
while i<=n
ex = (x^i);
fat = factorial(i-1);
soma = ex / fat;
i=i+1;

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采纳的回答

dpb
dpb 2023-8-20
"Dead ahead" straightforward would be
S=0;
for i=1:n
S=S+x^i/factorial(i-1);
end
Alternatively, vectorized could be
i=1:n;
S=sum(x.^i./factorial(i-1));
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Bruno Luong
Bruno Luong 2023-8-20
编辑：Bruno Luong 2023-8-20
(hard to find or easy to find it, depending on your understanding of Taylor)
Torsten
Torsten 2023-8-20
Yes, but you have to know that it's f(x) = x*exp(x) that you are approximating. Usually the explicit form of f is unknown.

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