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If |(f^(n+1))(x)|≤M on an interval I=(a−R,a+R) centered at a, for some radius R>0, then |Rn(x)|≤M ((|x−a|^(n+1))/(n+1)!) ≤ M(R^(n+1))/(n+1)!)) for all x in the interval

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If |(f^(n+1))(x)|≤M on an interval I=(a−R,a+R) centered at a, for some radius R>0, then |Rn(x)|≤M ((|x−a|^(n+1))/(n+1)!) ≤ M(R^(n+1))/(n+1)!)) for all x in the interval

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