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Unformatted text preview: Partial solutions to the Math 151 review problems for Exam 2 These are not complete solutions. They are only intended as a way to check your work. (1) The limit is 4. The L’Hˆ opital Rule is much more efficient than using long division to factor ( x 1) 2 out of the numerator and denominator. (2) The L’Hˆ opital Rule gives 1 / 3. In Math 152 you will learn a more efficient way to find this limit. (3) The horizontal asymptotes are y = 1 √ 7 and y = 1 √ 7 . (4) All of your answers except horizontal asymptotes can be checked using your graphing calculator and a viewing window with 4 ≤ x ≤ 4 and 4 ≤ y ≤ 4. The horizontal asymptote for (a) is y = 1. The horizontal asymptote for (b) is y = 0. (5) The critical points are x = ± 1 and x = ± 2 / √ 5. The inflection points are x = 0 and x = ± 3 / √ 10. If you use your graphing calculator to check the remaining answers, then you will have to choose the graphing window carefully to see confirmation of the following: The function is decreasing on ( 1 , 2 / √ 5) and (2 / √ 5 , 1). This is not obvious if the viewing window is 2 ≤ x ≤...
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This note was uploaded on 01/18/2012 for the course MATH 151 taught by Professor Sc during the Spring '08 term at Rutgers.
 Spring '08
 sc
 Division

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