Taylor Polynomial Remainder Bound

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Taylor Polynomial Remainder Bound

If:

$$|f^{(n+1)}(x)|\leq M$$

on the interval between $$a$$ and $$x$$, then:

$$|R_n|\leq\frac{M|x-a|^{n+1}}{(n+1)!}$$

Usage

- Used to obtain a numerical upper bound for Taylor approximation error.

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