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FINAL REVIEW #1-problems

# FINAL REVIEW #1-problems - suleimenov(bs26835 FINAL...

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suleimenov (bs26835) – FINAL REVIEW #1 – rusin – (55565) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Here is a review for the final exam. I am posting this in several parts. 001 10.0points 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. B and C only 2. A only 3. A and B only 4. B only 5. all of them 6. none of them 7. A and C only 8. C only 002 10.0points Determine if lim x → ∞ x 6 parenleftBig e 3 /x - 1 parenrightBig exists, and if it does, find its value. 1. limit = 2 2. limit = 1 2 3. limit = 6 4. limit does not exist 5. limit = 0 6. limit = 3 003 10.0points Determine if the improper integral I = integraldisplay 0 4 (3 x + 2) 2 dx is convergent, and if it is, find its value. 1. I = 1 2. I = 1 3 3. I is not convergent 4. I = 2 3 5. I = 1 2 6. I = 5 6 004 10.0points Compute the volume of the solid of revolu- tion obtained by rotating the region R = braceleftBig ( x, y ) : x 3 , 0 y 4 x bracerightBig about the x -axis. 1. volume = 25 3 π

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suleimenov (bs26835) – FINAL REVIEW #1 – rusin – (55565) 2 2. volume = 19 3 π 3. volume = 28 3 π 4. volume = 22 3 π 5. volume = 16 3 π 6. volume infinite 005 10.0points Determine if the sequence { a
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