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Question 1 (8 points) (a) Find p3(x), the third order Taylor polynomial of f(x) = ln x centered at x = 1. (b) Use

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Question 1 (8 points) (a) Find p3(x), the third order Taylor polynomial of f(x) = ln x centered at x = 1. (b) Use p(x) to estimate In 2. Make sure you show all of your work and do not use a calculator. Question 2 (10 points) Find the interval and radius of convergence of the series: k(x-2)* 3k+1 k=1 Make sure to check convergence at each endpoint.

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