Weiss_Chapter_2_Test_Fall_2005

Weiss_Chapter_2_Test_Fall_2005 - Chapter 2 Exam l~ Calculus...

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Unformatted text preview: Chapter 2 Exam .... l~ Calculus I Name SfoL \.. _- ] 1.) Consider the following graph of f. y \ a.) What is lim J (t) lim J (t) lim J(t) lim J(t) t--7O' t--7T t--7~ I ~ ) L c... L b.) For what values of a does limJ(t) exist? t---7a (- CO, 0) I) (0 ••..) \) (1., E) c.) Does J have any vertical asymptotes? If so, where? D ~ d.) For what values of t is f discontinuous? rO;rA I LI ~-fA ~C 2.) Consider the function f(x) = 2 x-7 x-4x-21 a.) What is the domain of f? C:~-3:.) IJ l-> I 7) v( 7, CD) L )(z._y ••.._ zl ::j.O ('f...-iX'!.. +-» '1.-::../ 1-::'-'3> b.) Compute limJ(x) if this limit exists. X--77 I ~ ,0 C \ ':::"'0 ~ j:c..•-.cJ-,~ d~n'J-.(!. rr<..~ .... 1- 7 )~; I- e f,-~b, O~-' c.) Is J continuous at 7? Explain your answer by either proving that J is continuous at x = 7 or telling how to modify f to make it continuous. F IS rv.\..- COl·J·iY\v()~ Q.+- 7 \xc "''-'5< t>v\--r~ /; '"J~) is ~ '5>0.J- ~ .;..-=J) (F d eachlimitbelow.(; _ '> ~l,.. .1 3. In 2 12 \<1.., __ , 2x + 5x...
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Weiss_Chapter_2_Test_Fall_2005 - Chapter 2 Exam l~ Calculus...

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