m116q03a - 1 MATHA116, Survey of Calculus, Quiz #3...

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Unformatted text preview: 1 MATHA116, Survey of Calculus, Quiz #3 Solutions Updated on October 5, 2006 Gethelpwheneverindoubt! c Li@Loyno.edu D irection. IV-1. Please read each of the following questions carefully. Show your work as much as possible. No partial credit will be given without proper work shown. Write your answer above the Answer line. Use the back of each page should more space be needed. N Important: Direction. Q uestion IV-1. ( 30 points ) Evaluate the limit lim x - 2 3 5 x + 2, if it exists. W ork IV-1. We evaluate it using direct substitution first. lim x - 2 3 5 x + 2 = 3 p 5(- 2) + 2 = 3 - 8 =- 2 (1) The answer is lim x - 2 3 5 x + 2 =- 2. Q uestion IV-2. ( 30 points ) Evaluate the limit lim x - 2 4- x 2 2 x 2 + x 3 , if it exists. W ork IV-2. We evaluate it using direct substitution first. lim x - 2 4- x 2 2 x 2 + x 3 = 4- (- 2) 2 2(- 2) 2 + (- 2) 3 = (2) which is undefined, indicating direct substitution fails in this case. We then try simplification as shown below.simplification as shown below....
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m116q03a - 1 MATHA116, Survey of Calculus, Quiz #3...

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