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 2 x 4 . Find lim x → − 1 x 3 + 1 ccccccccccccccc x + 1 5 . Find lim x I 1 ccc 3 M P 3 x 1 T H 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 + 4 x + 3 cccccccccccccccc cccccccccccccc x 2 + 5 x + 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 + 2 x 3 x < 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 , 16 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
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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 = − 1 f 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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