# 171mid1999 - Section Instructor Student Number APSC 171...

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Section, Instructor Student Number Name(printed) APSC 171 MIDTERM TEST October 28, 1999 (White) Page 1 of 3 pages Marks per question are indicated in bold in the right margin. Please make your answers as clear and precise as possible. 1. Find the following limits. If a limit does not exist, please explain. (i) lim x →-∞ p x 2 + 1 - p x 2 + x [3] (ii) lim x 1 x - 1 x 2 - 1 [3] (iii) lim x →∞ sin x [2]

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(White) Page 2 of 3 pages 2. Let f ( x ) = x 2 e sin x . Compute f 0 ( x ). [3] 3. Find h 0 ( x ) if h ( x ) = arcsin x arccos x . [2] 4. Let C
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