Chapter82003solutions - Chapter 8 Test No Calculators...

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Unformatted text preview: Chapter 8 Test No Calculators February 25, 2003 Name 1. Evaluate lim x 4 !!!!!!!!!!!! x 3 1 cccccccccccccccc cccccccccccccc x 2 16 lim x 4 !!!!!!!!!!!! x 3 1 cccccccccccccccc cccccccccccccc x 2 16 cccc so L lim x 4 !!!!!!!!!!!! x 3 1 cccccccccccccccc cccccccccccccc x 2 16 = lim x 4 1 cccccccccccccccc ccccccccccc 4 x !!!!!!!!!!!! x 3 = 1 cccccc 16 2. Evaluate lim x + J 1 + x cccc 3 N 2 ccc x lim x + J 1 + x cccc 3 N 2 ccc x 1 NEW lim x + 2 ln H 1 + x ccc 3 L cccccccccccccccc cccccccccccccccc x cccc so L lim x + 2 1 ccccccccc 1 + x ccc 3 1 ccc 3 cccccccccccccccc cccccccc 1 = lim x + 2 ccccccccccccc 3 + x = 2 cccc 3 e 2 ccc 3 3. Evaluate lim x 1 + H ln x L x 1 lim x 1 + H ln x L x 1 cccc NEW lim x 1 + ln H ln x L cccccccccccccccc ccccccc H x 1 L 1 ccccccc so L lim x 1 + 1 cccccccc ln x 1 ccc x cccccccccccccccc 1 cccccccccccccc H x 1 L 2 = lim x 1 + H x 1 L 2 cccccccccccccccc ccccccccc x ln x cccc L lim x 1 + 2 H x 1 L cccccccccccccccc cccccccccccccccc ln x + x H 1 ccc x L = lim x 1 + 2 H x 1 L cccccccccccccccc ccccccccc ln x + 1 cccc 1 e = 1 4. Evaluate lim x + H cot 4 x L H sin 1 5 x L lim x + H cot 4 x L H sin 1 5 x L H L = lim x + sin 1 5 x cccccccccccccccc cccccc tan 4 x cccc so L lim x + 1 cccccccccccccccc cccc !!!!!!!!!!!!!!!!!!...
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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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Chapter82003solutions - Chapter 8 Test No Calculators...

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