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Midterm

# TEST 1

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University of Toronto St. George

Mathematics

MAT137Y1

N/ A

Fall

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Department of Mathematics, University of Toronto Term Test 1 November 15, 2006 MAT 137Y, Calculus! Time Alloted: 1 hour 50 minutes 1. Evaluate the following limits. Do not use LHopitals Rule to evaluate the limit. 2 (x1) 1 (7%) (ix0im x +6x . sin (5t) (7%) (ii) lim 2 . t0 3t (4x)3x14 (7%) (iii) lim . x4+ 4x 2 3 9x (7%) (iiix0im x2 . 2. x 3x (7%) (i) Solve the inequality 0. Express your answer as a union of intervals. x 1 3 (ii) Suppose sinx4and 2 x . Find the exact value of each of the following expres- sions. (6%) (a

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