Homework 3 - vu (tv2894) – Homework 3 (Quest) – miner...

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Unformatted text preview: vu (tv2894) – Homework 3 (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 Determine the value of lim x → 2 f ( x ) + 6 g ( x ) f ( x ) − 5 g ( x ) when lim x → 2 f ( x ) = 3 , lim x → 2 g ( x ) = − 4 . 1. limit = 27 23 2. limit does not exist 3. limit = − 27 17 4. limit = − 21 23 correct 5. limit = 21 17 Explanation: By properties of limits lim x → 2 f ( x ) + 6 g ( x ) = lim x → 2 f ( x ) + 6 lim x → 2 g ( x ) = − 21 while lim x → 2 f ( x ) − 5 g ( x ) = lim x → 2 f ( x ) − 5 lim x → 2 g ( x ) = 23 negationslash = 0 Consequently, by properties of limits again, lim x → 2 f ( x ) + 6 g ( x ) f ( x ) − 5 g ( x ) = − 21 23 . 002 10.0 points Below are the graphs of functions f and g . 4 8 − 4 4 8 − 4 − 8 f : g : Use these graphs to determine lim x →- 3 { f ( x ) + g ( x ) } ....
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This note was uploaded on 11/07/2010 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas.

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Homework 3 - vu (tv2894) – Homework 3 (Quest) – miner...

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