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Question 4 (a) Without using L'Hopital's Rule, determine the limit 2 sin(x2) lim x-03 - 3 cos (2x) (12 marks) (b) Determine the Taylor expansion

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Question 4 (a) Without using L'Hopital's Rule, determine the limit 2 sin(x2) lim x-03 - 3 cos (2x) (12 marks) (b) Determine the Taylor expansion of v1 + x3 about a = 0, up to and including the term in x3. Use this Taylor expansion to estimate the value of v1.001, giving your answer to 4 decimal places. (8 marks)

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