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Suppose that $k \leq n$. Show that when estimating the $k$ th derivative of $f(x)$ at $a$ using the points $\left\{a+m_{0} \cdot h, a+m_{1} \cdot h, a+m_{2} \cdot h, \cdots, 1+m_{n} \cdot h\right\}$, the result is exact for $f(x)$ a polynomial of degree $p \leq n$.
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