Chapter8A - Chapter 8 Practice Test A 1. 2. 3. 4. 5. 6. 7....

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Unformatted text preview: Chapter 8 Practice Test A 1. 2. 3. 4. 5. 6. 7. 8. 9. Evaluate Evaluate Evaluate Evaluate Evaluate Evaluate Evaluate lim x 2 x3 2 x2 x2 x x2 x 3x x x 2 . lim x x 0 sin 2 x ln 5 ex 6 tan 2 x 5 x 2 lim x lim x 0 ln x . lim x 3x x2 2 sin x 1 4 x lim x x2 4x lim x 0 cos 3 x Determine which function grows faster as x Show your work. , ln x2 4 or x 5 Order the functions e2 x , x6 , 3 x5 , and ln x 2 from slowest to fastest growing as x . Show your work. 5x , f2 x 5x 3 , and f3 x . Show your work. 5 x3 growing 5x 3x 10. Show that the functions f1 x all grow at the same rate as x 11. Let f x x3 4 x2 and g x true? Show your work. I. f og II. f Og 3 2 x. Which of the following are of IV. g Of III. g 12. Evaluate 0 x 9 x2 dx or state that it diverges. 13. Evaluate x e 2 3 dx ln x 2 or state that it diverges. 14. Evaluate 0 csc x dx or state that it diverges. 15. Find the area of the region in the first quadrant that lies under the graph of y 3 x2 x e x. 3 16. Evaluate 2 1 1 3 x 2 3 dx or state that it diverges. 17. Evaluate 0 ln x dx or state that it diverges. ...
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