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Estimate $\frac{d^{n} f}{d x^{n}}$ at $x=a$ using the points $\{a-4 \cdot h, a-2 \cdot h, a-h, a, a+h, a+$ $2 \cdot h, a+4 \cdot h\} .$ For which $n$ can this be done? What is the best $h ?$ What is the error?
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