How do I properly code a Taylor Series for tan(x)?

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George Caspelli
George Caspelli 2021-3-11
评论： John D'Errico 2021-5-7
In terms of tan(x) with a=0, how would I code the approximation of a Taylor Series from n = 1:4? I get it on paper, but I can't seem to wrap my head around the Matlab code.
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George Caspelli
George Caspelli 2021-3-11
I deleted my Matlab code, but I yeah I can send a picture of my work on paper. I forgot to include that I want to find the approximation at x = pi/4.
Here's a general idea of the direction I went with my Matlab code. I was planning to create a variable n and have the multiple derivatives calculated at diff(f,n), but I wasn't able to figure that out.
syms x
f = tan(x)
diff(f)
vpa(subs(f,x,pi/4))
Hope this helps!
John D'Errico
John D'Errico 2021-5-7
If you say you deleted your code, then you may have as easily not written any code at all. How should we know that you are telling the truth?

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回答（1 个）

Mouhamed Niasse
Mouhamed Niasse 2021-5-7
try this
order=4; value=pi/4;
syms T1(x)
T1(x) = taylor(tan(x), x, 'Order', order)
vpa(T1(value))

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