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QUESTION 14. [3 points] The goal in this question is to estimate the value: In(1.05) with the help of the Taylor polynomial of order

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QUESTION 14. [3 points] The goal in this question is to estimate the value: In(1.05) with the help of the Taylor polynomial of order 3. a) Find the Taylor polynomial near r=0 for f(r) = In(1+r). So find f(0), f'(x), f'(0), "(z), "(0), f(r), and f(0) and arrange them in the polynomial. b) Find the value of r such that f(r) = In(1.05) lanimal places)

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