Limits at infinity-problems-1

Limits at infinity-problems-1 - handa(nh5757 Limits at...

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handa (nh5757) – Limits at infinity – bormashenko – (54880) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Determine if the limit lim x → ∞ 3 x + 2 x 2 - x + 4 exists, and if it does, find its value. 1. limit = 2 2. limit = 0 3. limit = - 3 4. limit = 4 5. limit = 2 4 6. limit doesn’t exist 002 10.0points A certain function f is known to have the properties lim x → -∞ f ( x ) = 1 , lim x → ∞ f ( x ) = 2 . Determine if lim x 0+ 2 + 5 x 3 + f ( 1 x ) exists, and if it does, compute its value. 1. limit = 7 4 2. limit = 1 3. limit = 1 2 4. limit does not exist 5. limit = 2 5 003 10.0points Find all asymptotes of the graph of y = 3 x 2 - 10 x + 3 3 x 2 - 11 x + 6 . 1. vertical: x = 2 3 , 3 , horizontal: y = 1 2. vertical: x = 2 3 , horizontal: y = 1 3. vertical: x = 3 , horizontal: y = 1 4. vertical: x = 2 3 , 3 , horizontal: y = - 1 5. vertical: x = 3 , horizontal: y = - 1 6. vertical: x = 2 3 , horizontal: y = - 1 7. vertical: x = - 2 3 , horizontal: y = 1 004 10.0points For which function f does its graph have vertical asymptotes x = - 5 4 ,
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