# 171mid2000 - Section Instructor Student Number APSC 171...

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Section, Instructor Student Number Name(printed) APSC 171 MIDTERM TEST October 26, 2000 (White) Page 1 of 4 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. [6] (a) lim x →∞ [ p x 2 + 4 x + 1 - x ] (b) lim x 0 x 2 sin 1 x

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(White) Page 2 of 4 pages 2. Let f ( x ) = e x . Use the definition of the derivative of f ( x ) at 0 to show that lim h 0 e h - 1 h = 1. (You may use the fact that the derivative of e x is e x .) [2] 3. Find dy dx

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• Fall '09
• ProfessorRoth
• lim, Trigraph, The Tangent, Student Number APSC

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