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Homework 2

# Homework 2 - vu(tv2894 Homework 2(Quest miner(55096 This...

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vu (tv2894) – Homework 2 (Quest) – miner – (55096) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Below is the graph of a function f . -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 2 4 6 - 2 - 4 - 6 2 4 6 8 - 2 - 4 Use the graph to determine lim x → - 3 f ( x ). 1. lim x → - 3 f ( x ) = 4 2. lim x → - 3 f ( x ) = 6 3. lim x → - 3 f ( x ) = 3 correct 4. lim x → - 3 f ( x ) = 5 5. lim x → - 3 f ( x ) does not exist Explanation: From the graph it is clear the f has both a left hand limit and a right hand limit at x = - 3; in addition, these limits coincide. Thus lim x → - 3 f ( x ) = 3. 002 10.0 points When f is the function defined by f ( x ) = braceleftbigg 4 x - 5 , x < 4 , 3 x - 2 , x 4 , determine if lim x 4 - f ( x ) exists, and if it does, find its value. 1. limit = 12 2. limit = 11 correct 3. limit does not exist 4. limit = 10 5. limit = 14 6. limit = 13 Explanation: The left hand limit lim x 4 - f ( x ) depends only on the values of f for x > 2.

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