Assignment 11-solutions-1

Assignment 11-solutions-1 - nanni (arn437) Assignment 11...

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Unformatted text preview: nanni (arn437) Assignment 11 guntel (54940) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points When f, g, F and G are functions such that lim x 1 f ( x ) = 0 , lim x 1 g ( x ) = 0 , lim x 1 F ( x ) = 2 , lim x 1 G ( x ) = , which, if any, of A. lim x 1 f ( x ) g ( x ) , B. lim x 1 f ( x ) g ( x ) , C. lim x 1 g ( x ) G ( x ) . are indeterminate forms? 1. A and B only 2. all of them 3. A and C only 4. B only 5. C only 6. B and C only correct 7. A only 8. none of them Explanation: A. By properties of limits lim x 1 f ( x ) g ( x ) = 0 0 = 0 , so this limit is not an indeterminate form. B. Since lim x 1 f ( x ) g ( x ) = 0 , this limit is an indeterminate form. C. Since lim x 1 = , this limit is an indeterminate form. 002 10.0 points Determine if the limit lim x 0+ (1- 3 x ) 1 2 x exists, and if it does, find its value. 1. limit = e 2 3 2. limit = 1 3. limit = e 1 2 4. limit = e 3 5. none of the other answers 6. limit = 7. limit = e 3 2 correct 8. limit = e 3 2 Explanation: Since the limit has the form lim x 0+ (1- 3 x ) 1 2 x = 1 , we first take logs and then evaluate lim x...
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Assignment 11-solutions-1 - nanni (arn437) Assignment 11...

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