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2. (10 points) Consider the function; f(x) = (x - 1) In(x) a) (6 marks) Find the fifth order Taylor polynomial I(x) for the function

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2. (10 points) Consider the function; f(x) = (x - 1) In(x) a) (6 marks) Find the fifth order Taylor polynomial I(x) for the function about To = 1 b) (4 points) Beginning with the first term of the series, add terms one at a time until the approximate percent relative error falls below Es = 0.5% to estimate f (0.5)

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