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Chapter82005 - Chapter 8 Test 1 Evaluate x→1 No...

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Unformatted text preview: Chapter 8 Test 1. Evaluate x→1 No Calculators February 15, 2005 Name lim 1 + cos Hπ xL 1 − x + ln x 2. Evaluate x→0 lim è!!!!!!!!!!!!!!!! ! è!!!!!!!!!!!! ! 3 + 2x − 3 + x x 3. Evaluate x → 1+ x 1y j z lim i − j2 z x − 1{ kx + x − 2 4. Evaluate x → 0+ lim Hx + sin xLx 5. Evaluate x→0 lim Hcos xL x2 1 6. è!!!!!!!!!!!!!!!!! ! ! è!!!! Let f HxL = ln H2 xL and g HxL = ln x . 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 7. Evaluate −∞ 2 2x dx ‡xe 0 8. Evaluate ‡ 4 ∞ 3 x2 − 2x dx 9. Evaluate ‡ 0 2 H2 x − 1L 3 2 1 dx 10. Evaluate x+4 ‡ è!!!!!!!!!!!!!! dx ! 1 − x2 0 1 11. Use the direct comparison test or the limit comparison test to determine if the following integral converges or diverges. 1 dx ‡ è!!!! 3 x +4 8 ∞ 12. Evaluate ‡ 3 x2 + 4 x + 4 x3 + x dx 13. Evaluate ‡ x2 − 2 x − 2 x3 − 1 dx ...
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