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Taylor Series Undefined for n greater than 9
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Running the command TaylorPolynomial[1 / x, 2, 10] returns undefined while TaylorPolynomial[1 / x, 2, n] for 0<n<9 return valid Taylor Polynomials. I do not understand why this would be the case. Have I overlooked something or is there a problem with the command.
Running version 5.0.309.03D
Thank you.
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Hi, I confirm.
A workaround : use the CAS with something like
f(x):=TaylorPolynomial[1/x, 2, 10]
I think there is a bug with taylor
In the attached taylor is calculated with CAS
it is also possible a problem of memory . the attached did not work after taylorpolynomial[] out of CAS, but it works after reset GG
In input bar (without CAS) the tenth derivative for taylor polynomial is computed using chain rule and the result contains (x^2)^2...=x^1024 which gives (numerically) infinity for x=2.
You may either
* use CAS as shown by @mathmagic and @Michel
* use TaylorPolynomial[x^1, 2, 10]
* wait for 5.0.312 / 6.0.312 that will improve the algorithm used by input bar, solving your particular use case
Thank you all for your quick help. Using CAS works well.
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