Chapter82004 - Chapter 8 Test 1. 2. 3. 4. 5. 6. Evaluate...

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Unformatted text preview: Chapter 8 Test 1. 2. 3. 4. 5. 6. Evaluate Evaluate Evaluate Evaluate Evaluate t→0 No Calculators February 24, 2004 Name lim cos t − 1 et − t − 1 x−4 3 è!!!!!!!!!!!! ! x+4 −2 1 x→4 lim x → 0+ x → 1− 7. Evaluate Let f HxL = ln Hln xL and g HxL = ln x3 . Which of the following are true? Show your work. I. f = o HgL II. f = O HgL III. g = o HfL IV. g = o HfL cos x ‡ è!!!!!!!!!!!!!!!! !!!!!! dx 1 − sin x 0 ∞ 0 π 2 x→1 1 1y z j − lim i z j x − 1{ k ln x lim xI 1 − x M lim Htan xLx 8. Evaluate 9. Evaluate 1y i1 z dx − z j ‡j x + 3{ kx + 2 −∞ 10. Evaluate ‡ 1 3 x2 + 4 2 dx 11. Use the direct comparison test or the limit comparison test to determine if the following integral converges or diverges. ‡ ‡ 2x + 1 x2 − 7 x + 12 Hx2 + 4L2 1 dx ‡ è!!!! x + cos x 0 π 2 ‡ 1 3 è!!!!!!!!!!!!!! dx ! x x2 − 1 12. Evaluate dx 13. Evaluate 3 x2 − 2 x + 12 dx ...
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This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at University of California, Berkeley.

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