Math101-MasterKey-FirstM-T101.pdf - King Fahd University of Petroleum Minerals Department of Mathematics and Statistics MATH 101 Calculus I EXAM I

# Math101-MasterKey-FirstM-T101.pdf - King Fahd University of...

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King Fahd University of Petroleum & Minerals Department of Mathematics and Statistics MATH 101 – Calculus I EXAM I 2009-2010 (091) Monday, November 2, 2009 Allowed Time: 2 Hours Name: ID Number: Serial Number: Section Number: Instructor’s Name: Instrunctions : 1. Write neatly and legibly. You may lose points for messy work. 2. Show all your work. No points for answers without justification. 3. Calculators and Mobiles are not allowed . 4. Make sure that you have 10 different problems (6 pages + cover page). Problem No. Points Maxiumum Points 1 12 2 7 3(a,b,c) 18 4 12 5 6 6 10 7 7 8 12 9 12 10 4 Total: 100
MATH 101 EXAM I (Term 091) Page 1 of 6 1. (12-points) Sketch the graph of a function f that satisfies all of the following conditions: lim x →− 4 - f ( x ) = −∞ ; lim x →− 4 + f ( x ) = ; lim x →−∞ f ( x ) = 0; lim x →− 2 f ( x ) = 1 ; f is undefined at 2; lim x 1 - f ( x ) = 1 ; lim x 1 + f ( x ) = 2 ; f (1) = 1 O N ± ! " ¡ " ¡ ¡ ± ¡ ! 2. (7-points) If x 3 x + 4 x + f ( x ) 3 x 2 + 1 for all real numbers x , then find lim x 1 f ( x ).

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