Spring07-Test1

Spring07-Test1 - Math 1205 - Test 1 14 Feb 2007 NAME: You...

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Math 1205 -- Test 1 14 Feb 2007 NAME: You will be graded on how well and fully you support your work! Use only methods from class. - 4 - 3 - 2 - 1 1 2 4 x - 4 - 3 2 - 1 2 f H x L 1 . [13] a) Let f H x L be defined by the graph given above. Determine the following limits, writing + or - as appropri- ate. If a limit does not exist, explain why. lim x Ø-¶ f H x L lim x Ø 3 f H x L lim x Ø 4 f H x L lim x Ø 1 - f H x L lim x Ø 1 + f H x L lim x Ø 1 f H x L lim x Ø- 1 - f H x L lim x Ø- 1 f H x L lim x Ø 2 f H x L b) Using the definition of asymptotes, explain why = - 1 is a vertical asymptote, but = 3 is not. c) From the graph of , state the -values at which is discontinuous and explain why.
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2 . [10] If we know that x cos H L § sin H L § for 0 § § p ÅÅÅÅ 2 , find lim Ø 0 + sin H L ÅÅÅÅÅÅÅÅÅÅÅÅÅ . Support your answer. 3. [10 points each] If lim Ø 6 f H L g H L exists, then must it be true that lim Ø 6 H L H L = H 6 L H 6 L . Support or give a counter-example.
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This test prep was uploaded on 04/01/2008 for the course MATH 1205 taught by Professor Fbhinkelmann during the Fall '08 term at Virginia Tech.

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Spring07-Test1 - Math 1205 - Test 1 14 Feb 2007 NAME: You...

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