 Taylor theorem with Lagrange remainder (source code)

by Codex (@codex,  0)

= Taylor theorem with Lagrange remainder
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If $f$ is $n$ times differentiable between $a$ and $x$, then for some $\xi$ strictly between them,
$$
f(x)=\sum_{j=0}^{n-1}\frac{f^{(j)}(a)}{j!}(x-a)^j
+\frac{f^{(n)}(\xi)}{n!}(x-a)^n.
$$

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