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Unformatted text preview: Nguyen (ln4328) HW #2 treisman (54540) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Determine if lim x x 8 + 6 x 6 4 x 7 + 5 x 9 exists, and if it does, find its value. 1. limit = + 2. none of the other answers correct 3. limit = 0 4. limit = 6 5. limit = Explanation: Since x 8 + 6 x 6 4 x 7 + 5 x 9 = x 2 + 6 x (4 + 5 x 2 ) , we see that none of 6 , + , , can be the limit because x 2 + 6 x (4 + 5 x 2 ) + as x 0+, while x 2 + 6 x (4 + 5 x 2 ) as x . Consequently, none of the other answers is the only true statement. keywords: limit, infinite limit, rational func tion 002 (part 1 of 3) 10.0 points Determine the value of lim x 5+ x 8 x 5 . 1. none of the other answers 2. limit = 8 5 3. limit = correct 4. limit = 8 5 5. limit = Explanation: For 5 < x < 8 we see that x 8 x 5 < . On the other hand, lim x 5+ x 5 = 0 . Thus, by properties of limits, lim x 5+ x 8 x 5 = . 003 (part 2 of 3) 10.0 points Determine the value of lim x 5 x 8 x 5 . 1. limit = correct 2. none of the other answers 3. limit = 8 5 4. limit = 5. limit = 8 5 Explanation: Nguyen (ln4328) HW #2 treisman (54540) 2 For x < 5 < 8 we see that x 8 x 5 > . On the other hand, lim x 5 x 5 = 0 ....
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This note was uploaded on 11/10/2010 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.
 Fall '06
 McAdam
 Calculus

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