Chapter22006

Calculus: Early Transcendental Functions

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Chapter 2 Test September 12, 2006 No Calculators Name 1. Find lim x → − 3 è!!!!!!!!!!!!!!!! !!!!!!!!!! x 2 x 12 2. Find lim x 6 Q x cccc 3 1 U 3. Find lim x → − 2 x + 2 cccccccccccccccc cccccccc 2 x 3 + 16 4. Find lim x −π ccccc 6 sec H 2 x L tan x 5. Find lim x 0 + x cccccccccccccccc cccccccccccccc è!!!!!!!!!!!! 4 + x 2 6. Find lim x → −∞ 2 x H 2 x + 1 L H x 5 L cccccccccccccccccccccccccccccccc cccccccccccccccc ccccc è!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!! 4 x 6 + 3 x 4 + 1 7. Find lim x 0 tan x + cot H 2 x L cccccccccccccccccccccccccccccccc cccccccccccc 2 x
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8. Find lim x → −∞ 2 x sin x 9. Find the slope of the curve y = x 2 cccccc 3 + 1 at the point H 3, 4 L , and do not use any shortcuts. 10. Find the average rate of change of the function f H x L = log 3 H x L on the interval A 1 cccc 9 , 27 E 11. If f H x L = 3 x x 2 for x < 2 then find lim x 2 f H x L . Justify your answer 3 3 x for x > 2 12. Find the intervals where f H x L is continuous if f H x L = è!!!!!!!!!!!!!!!!!
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