The Lagrange error bound of a Taylor polynomial gives the worst-case scenario for the difference between the estimated value of the function as provided by the ... |
These enhanced versions of Taylor's theorem typically lead to uniform estimates for the approximation error in a small neighborhood of the center of expansion, ... |
28 сент. 2023 г. · The Lagrange Error Bound shows us how to determine the accuracy in using a Taylor polynomial to approximate a function. |
22 янв. 2023 г. · You have the numerical error because you work with a finite amount of digits. Is there a general way to estimate this numerical mistake for the Taylor series? |
In this problem you'll know the value of x and the accuracy you're going for, and you will find how large a degree n for the Taylor Polynomial is needed. |
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