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Unformatted text preview: rabbani (tar547) – Homework03 – Fouli – (58395) 1 This printout should have 24 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Suppose lim x → 5 f ( x ) = 4 . Which of these statements are true without further restrictions on f ? A. Range of f contains 4 . B. As x approaches 5 , f ( x ) approaches 4 . C. f is defined on ( a, 5) ∪ (5 , b ) for some a < 5 < b . 1. All of them 2. C only 3. B and C only 4. None of them 5. A only 6. A and B only 7. A and C only 8. B only 002 10.0 points Below is the graph of a function f . 2 4 6 − 2 − 4 − 6 2 4 6 8 − 2 − 4 Use the graph to determine lim x → 2 f ( x ) . 1. limit does not exist 2. limit = 6 3. limit = − 4 4. limit = 2 5. limit = − 2 003 10.0 points A function f is defined piecewise for all x negationslash = 0 by f ( x ) = 3 + 1 2 x, x < − 2 , 5 2 x, <  x  ≤ 2 , 5 + x − 1 2 x 2 , x > 2 . By first drawing the graph of f , determine all the values of a at which lim x → a f ( x ) exists, expressing your answer in interval no tation. 1. ( −∞ , 0) ∪ (0 , ∞ ) rabbani (tar547) – Homework03 – Fouli – (58395) 2 2. ( −∞ , − 2) ∪ ( − 2 , 2) ∪ (2 , ∞ ) 3. ( −∞ , 0) ∪ (0 , 2) ∪ (2 , ∞ ) 4. ( −∞ , 2) ∪ (2 , ∞ ) 5. ( −∞ , − 2) ∪ ( − 2 , 0) ∪ (0 , ∞ ) 6. ( −∞ , − 2) ∪ ( − 2 , 0) ∪ (0 , 2) ∪ (2 , ∞ ) 7. (...
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 Fall '08
 JOUVE
 Limit, lim

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