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Homework 16

# Homework 16 - vu(tv2894 – Homework 16(Section 4.4 –...

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Unformatted text preview: vu (tv2894) – Homework 16 (Section 4.4) – miner – (55096) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine if lim x →∞ x 3- 5 x 2 x 3 + x 2 + 1 exists, and if it does, find its value. 1. limit = 3 2 2. limit = 0 3. limit = 1 2 correct 4. limit = 1 5. limit =- 1 2 6. limit does not exist Explanation: After division by x 3 in both the numerator and denominator, we see that x 3- 5 x 2 x 3- x 2 + 1 = 1- 5 x 2 2 + 1 x + 1 x 3 . On the other hand, lim x →∞ parenleftBig 1- 5 x 2 parenrightBig = 1 , while lim x →∞ parenleftBig 2 + 1 x + 1 x 3 parenrightBig = 2 . Consequently, lim x →∞ x 3- 5 x 2 x 3 + x 2 + 1 exists and limit = 1 2 . 002 10.0 points A certain function f is known to have the properties lim x →−∞ f ( x ) = 6 , lim x →∞ f ( x ) = 4 ....
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Homework 16 - vu(tv2894 – Homework 16(Section 4.4 –...

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