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Find the Taylor series expansion (up to the first 4 non-zero terms) of the function f (x) = In(2 + x) about the point a

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Find the Taylor series expansion (up to the first 4 non-zero terms) of the function f (x) = In(2 + x) about the point a = 0. Use the series to estimate In(2.01), up to 3 significant figures. (You may use the fact that In 2 = 0.6931 to 4 significant figures.) (10 marks) Find the point(s) on the graph of 9x- + y- = 4 furthest away from the origin (0,0). Explain your answer. (10 marks)

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