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Review Assignment-problems-1

Review Assignment-problems-1 - handa(nh5757 Review...

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handa (nh5757) – Review Assignment – bormashenko – (54880) 1 This print-out should have 32 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points If f oscillates faster and faster when x ap- proaches 0 as indicated by its graph determine which, if any, of L 1 : lim x 0+ f ( x ) , L 2 : lim x 0 f ( x ) exist. 1. neither L 1 nor L 2 exists 2. both L 1 and L 2 exist 3. L 1 exists, but L 2 doesn’t 4. L 1 doesn’t exist, but L 2 does 002 10.0points Consider the function f ( x ) = 3 x, x < 1 x, 1 x < 3 ( x 3) 2 , x 3 . Find all the values of a for which the limit lim x a f ( x ) exists, expressing your answer in interval no- tation. 1. ( −∞ , 1] [3 , ) 2. ( −∞ , 1) ( 1 , 3) (3 , ) 3. ( −∞ , 3) (3 , ) 4. ( −∞ , 1) ( 1 , ) 5. ( −∞ , ) 003 10.0points Determine if lim x 0 x 2 cos parenleftBig 10 x parenrightBig exists, and if it does, find its value. 1. limit = 10 2. limit = 0 3. limit = 1 4. limit = 2 5. limit does not exist 004 10.0points Determine if lim x 0 1 5 x sin x exists, and if it does, find its value. 1. limit = 1 5 2. limit = 1 5 3. limit = −∞ 4. none of the other answers 5. limit = 005 10.0points Determine the value of lim x 3 f ( x )
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handa (nh5757) – Review Assignment – bormashenko – (54880) 2 when f satisfies the inequalities 4 f ( x ) x 2 6 x + 13 on [ 5 , 3) (3 , 5]. 1. limit = 4 2. limit = 2 3. limit = 3 4. limit does not exist 5. limit = 1 6. limit = 5 006 10.0points Determine lim x 1 x 1 x + 3 2 .
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