Chapter22005

Calculus: Early Transcendental Functions

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Unformatted text preview: Chapter 2 Test September 13, 2005 No Calculators Name 1. Find lim x โ†’ 5 + x โˆ’ 5 cccccccccccccccc ccccccccccccc ยป 3 x โˆ’ 15 ยป 2. Find lim x โ†’ 5 ccc 3 + 1 cccccccccccccccc ccccccc รจ!!!!!!!!!!!!!!! 3 x โˆ’ 5 3. Find lim x โ†’ 1 ccc 2 8 x 3 โˆ’ 1 cccccccccccccccc ccccc 4 x 2 โˆ’ 1 4. Find lim x โ†’ 5 ฯ€ cccccc 6 csc x cot 2 x 5. Find lim x โ†’ 5 โˆ’ x 2 โˆ’ 2 x โˆ’ 15 cccccccccccccccc cccccccccccccccc cccccc 2 x 2 โˆ’ 11 x + 5 6. Find lim x โ†’ x 2 4 x cos x 7. Find lim x โ†’ x csc x + 1 cccccccccccccccc ccccccccccccc x csc 2 x 8. Find lim x โ†’ โˆ’โˆž H 2 x + 1 L H 4 x โˆ’ 4 L cccccccccccccccccccccccccccccccc cccccccccccccccc H 1 โˆ’ x L H 3 x โˆ’ 5 L 9. Find the slope of the curve y = 1 cccc 2 x 2 โˆ’ 2 at the point H 4, 6 L , and do not use any shortcuts. 10. Find the average rate of change of the function f H x L = cot J x cccc 2 N on the interval A ฯ€ cccc 3 , 4 ฯ€ cccccccc 3 E 11. If f H x L = 5 โˆ’ 3 x for x < โˆ’ 3 then find lim x โ†’ โˆ’ 3 f H x L . Justify your answer x...
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Chapter22005 - Chapter 2 Test No Calculators Name 1 Find...

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