Chapter22004

# Calculus: Early Transcendental Functions

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Chapter 2 Test September 14, 2004 Name 1. Find lim x →− 4 è!!!!! x 2 2. Find lim x 0 tan 2 x ccccccccccccccccc x 3. Find lim x 2 è!!!!!!!!!!!!!!!! x 2 2x 4. Find lim x 1 x 3 + 1 ccccccccccccccc x + 1 5. Find lim x I 1 ccc 3 M P 3x 1 TH this is a greatest integer function L 6. Find lim x 7 π ccccc 6 sin 2 x cos x 7. Find lim x 2 x 2 + 4x + 3 cccccccccccccccc cccccccccccccc x 2 + 5x + 6

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8. Find lim x →−∞ 1 ccccccccccc x 3 e x 9. Find the value for k that would make the following a continuous function f H x L = x 2 + 2x 3x < 3 kx + 2 x 3 10. Find the average rate of change for the function f H x L = log 2 x on the interval A 1 cccc 4 ,1 6 E . 11. Find the slope of the curve y = 2 x 2 x at the point H 1, 3 L , and do not use any shortcuts. 12. Find the intervals where f H x L is continuous if f H x L = è!!!!!!!!!!!!! x 2 4 cccccccccccccccc cccccccccc ln H 3 x L
13. Sketch a graph of a function f that satisfies the following conditions : lim x 3 f H x L Does Not Exist lim x 3 + f H x L =− 1f H 3 L = 1 lim x →− 2 + f H x L =∞ lim x 2 f H x L = 2 lim x →∞ f H x L = 0 14. Find H a L a simple right end behavior model, and H b L a simple left end behavior model

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Chapter22004 - Chapter 2 Test lim 1. Find 2. Find 3. Find...

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