I want to know what is order of approximation and how to compute it? I couldn't find a good source explaining order of approximation anywhere.
2026-04-02 06:06:52.1775110012
Order of approximation
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You should find that $$ L[f](x_0,h)-f'(x_0)=C·h^p+o(h^p) $$ where $L[f](x_0,h)$ is the difference quotient expression. Please compute the numerical errors, [Spoiler] it should be quite clearly apparent that $p=1$ in both examples.
$p$ is the approximation order.