# Hw3 - padilla(tp5647 Homework03 Fouli(58320 This print-out should have 24 questions Multiple-choice questions may continue on the next column or

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padilla (tp5647) – Homework03 – Fouli – (58320) 1 This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. 001 10.0 points Suppose lim x 5 f ( x ) = 4 . Which o± these statements are true without ±urther restrictions on f ? A. Range of f need not contain 4 . B. f is deFned on ( a, b ) for some a < 5 < b . C. As f ( x ) approaches 4 , x approaches 5 . 1. B and C only 2. A and C only 3. A and B only 4. None o± them 5. A only 6. All o± them 7. B only 8. C only 002 10.0 points Below is the graph o± a ±unction f . 2 4 6 2 4 6 2 4 6 8 2 4 Use the graph to determine lim x 0 - f ( x ) . 1. limit = 2 2. limit = 4 3. limit does not exist 4. limit = 6 5. limit = 2 003 10.0 points A ±unction f is defned piecewise ±or all x n = 0 by f ( x ) = 5 + x, x < 2 , 2 x, 0 < | x | ≤ 2 , 4 + x 1 2 x 2 , x > 2 . By frst drawing the graph o± f , determine all the values o± a at which lim x a f ( x ) exists, expressing your answer in interval no- tation. 1. ( −∞ , 2) ( 2 , 0) (0 , ) 2. ( −∞ , 0) (0 , 2) (2 , ) 3. ( −∞ , 2) ( 2 , ) 4. ( −∞ , 2) (2 , ) 5. ( −∞ , 0) (0 , ) 6. ( −∞ , 2) ( 2 , 2) (2 , ) 7. ( −∞ , 2) ( 2 , 0) (0 , 2) (2 , ) 004 10.0 points

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## This note was uploaded on 09/09/2009 for the course M 408k taught by Professor Fouli during the Spring '09 term at University of Texas-Tyler.

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Hw3 - padilla(tp5647 Homework03 Fouli(58320 This print-out should have 24 questions Multiple-choice questions may continue on the next column or

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