Chapter82003 - Chapter 8 Test 1. Evaluate lim x 4 No...

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Unformatted text preview: Chapter 8 Test 1. Evaluate lim x 4 No Calculators 1 16 February 25, 2003 Name x x2 3 2. 3. 4. 5. Evaluate lim 1 x 0 x 3 2 x Evaluate lim x 1 ln x x 1 Evaluate lim x 0 cot 4 x x4 x 2 2 sin 1 5x x2 Evaluate lim x 7 x2 5 6. Let f x I. f og 1 ln and g x ln x4 . Which of the following are true? Show your work. II. f Og III. g of IV. g Of 7. Evaluate 0 2 1 x2 sin 1 x dx 8. Evaluate 2x 0 3 5 3 dx 9. Evaluate 3 2x x2 4 dx 2 2 10. Evaluate 0 x2 ln x dx 11. Use the direct comparison test or the limit comparison test to determine if the following integral converges or diverges. 2 x2 4 x5 3 x3 dx 12. Evaluate 4 x2 x3 x2 x2 5x 4 x2 3x 1 x2 15 5x 1 dx 13. Evaluate dx 4 ...
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