Chapter82008 - Be sure to choose a related, simpler,...

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Chapter 8 Test No Calculators February 25, 2008 Name 1. Evaluate lim x Æ 0 tan x - x ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x 3 2. Evaluate lim x Æp - sinx ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ 1 - cosx 3. Evaluate lim x Æ x H ln H x + 4 L - ln x L 4. Evaluate lim x Æ J x ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x + 1 N x
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5. Evaluate lim x Æ H e x + x L 2 ÄÄÄ x 6. Let f H x L = log 2 H x 4 L and g H x L = H log 5 x L 2 . Which of the following are true? Show your work I. f = o H g L II. f = O H g L III. g = o H f L IV. g = O H f L 7. Evaluate p ÄÄÄ 4 p ÄÄÄ 2 tan 2 xdx
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8. Evaluate - 2 x ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ H 1 + x 2 L 3 ÄÄÄ 2 dx 9. Evaluate 0 2 H log 2 x L x 3 dx 10. Use the Direct Comparison Test or the Limit Comparison Test to determine if the following integral Converges or Diverges.
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Unformatted text preview: Be sure to choose a related, simpler, p-value integral to compare it to. 1 x x 4 3 + 4 dx 11. Evaluate x 3 + x x-1 dx 12. Evaluate 5x 2 + 3x-2 x 3 + 2x 2 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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Chapter82008 - Be sure to choose a related, simpler,...

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