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Unformatted text preview: mao (tm23477) – HW3 – gualdani – (57180) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Suppose that f ( x ) is defined for all x in U = (4 , 5) ∪ (5 , 6) and that lim x → 5 f ( x ) = L. Which of the following statements are then true? A. if L > , then f ( x ) > on U ; B. if f ( x ) > on U , then L ≥ 0; C. if L = 0 , then f ( x ) = 0 on U . 1. A, B only 2. B , C only 3. A, C only 4. none of A, B , C 5. B only 6. each of A, B , C 002 (part 1 of 2) 10.0 points (i) Which of the following statements are true for all values of c ? I. lim x → c f ( x ) = 0 = ⇒ lim x → c | f ( x ) | = 0 . II. lim x → c | f ( x ) | = 0 = ⇒ lim x → c f ( x ) = 0 . 1. both I and II 2. neither I nor II 3. II only 4. I only 003 (part 2 of 2) 10.0 points (ii) Which of the following statements are true for all c and all L ? I. lim x → c f ( x ) = L = ⇒ lim x → c | f ( x ) | = | L | . II. lim x → c | f ( x ) | = | L | = ⇒ lim x → c f ( x ) = L. 1. II only 2. I only 3. neither I nor II 4. both I and II 004 10.0 points A function f is defined piecewise for all x negationslash = 0 by f ( x ) =...
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This note was uploaded on 05/12/2010 for the course 408K 408K taught by Professor Guldani during the Spring '10 term at University of Texas at Austin.
- Spring '10