Word Count : 205

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Consider two points ((x_0, f(x_0))) and ((x_1, f(x_1))). The linear interpolation (L(x)) between them is [ L(x) = f(x_0) + \frac{f(x_1) - f(x_0)}{x_1 - x_0}(x - x_0). ] The error in linear interpolation is [ E(x) = f(x) - L(x). ] By Taylor's theorem, for some (\xi \in (x_0, x_1)), we __________ _____ ______ ___ ________ ________ ______ _______ ___ ______ ______.
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