Question 6
Let \(F(x)=(1+x)^3\) and use its terms through \(x^2\) as an approximation.
Estimate \(1.04^3\). State the exact signed remainder and whether the estimate is high or low.
Find the largest \(\delta\ge0\) for which the absolute error is at most \(\displaystyle \frac{27}{1000000}\) for every \(|x|\le\delta\).
Complete-answer checking, worked solutions and indicative written criteria.
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