Let f (x) = (1 x)1 and x0 = 0. Find the nth Taylor polynomial Pn (x) for f (x) about x0

Chapter 1, Problem 1.1.18

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Let f (x) = (1 x)1 and x0 = 0. Find the nth Taylor polynomial Pn (x) for f (x) about x0. Find a value of n necessary for Pn (x) to approximate f (x) to within 106 on [0, 0.5].

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