MATH 120 Midterm: MATH 120 2006 Winter Test 1

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8 Jan 2019
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There are 11 pages in this test including this cover page. No calculators, books, notes, or electronic devices of any kind are permitted. I have read and understood the instructions and agree to abide by them. Put your answer in the box provided but show your work also. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, it is not necessary to simplify your answers in this question. (a) evaluate limx 4 x2. 4x x2 16 . (b) evaluate f (2) if f (x) = g(x/h(x)), h(2) = 2, h (2) = 3, g (1) = 4. (c) find the value of the constant a for which limx 2 x2+ax+3 x2+x 2 exists. Give your answer as a fraction in which both the numerator and denominator are integers. (k) f (x) = ex+x is one-to-one.