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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CAT Formulas
Applications of Derivatives
Taylor Polynomial Remainder Bound
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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