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Course: MAT421 Calculus I

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QUESTION 1 2 a) Determine the domain of the function f (x) =- 3x -4-2 (5 marks) b) Evaluate each of the following limits by using the limit laws. sin 2x - xcos 2x i) lim X-0 tan 2x (6 marks) 2x2 - 13x +15 ii) lim x-5 5- X (3 marks) c) Given f (x) = Vx- +12-4 and g (x) = ) 2x3 -6 .. Find lim f (x) + lim g(x). x - 2 x3 +1 x-2 X -+00 (6 marks)