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MTH 132, Section 19 Quiz 2 Wednesday, January 27, 2010 1 Name: Score: Problem 1. [3 points] Based on the graph of the function f (x) below, answer the following questions. 1 2 3?1?2?3?4 1 2 ?1 ?2 ?3 Bullet (a) Does lim x! 1 f (x) exist? If so, what is its value? (b) Find lim x!1+ f (x) and lim x!1 f (x). What does this tell you about lim x!1 f (x)? (c) Is lim x! 4+ f (x) = f ( 4)? Problem 2. [4 points] Find lim x!0 2sin(3x) sin(2x) . MTH 132, Section 19 Quiz 2 Wednesday, January 27, 2010 2 Problem 3. [3 points] Let g(x) = x 2 (x 2)3. (a) Find lim x!2 g(x). (b) Find lim x!2+ g(x). (c) Write down the equation all vertical asymptotes of g(x). Problem4. [1point] (extracredit)If lim x!1+ f (x) = 2, what(ifanything)canyousayabout lim x! 1 f ( x)?

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