hw8-30 - Schaums Outline , Chapter 7: work Problem 16. As...

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Math 170-010 Homework 8/30 Fall 2011 Goals: Compute limits using algebraic, numerical, or graphical techniques as appropriate. If a limit fails to exist, explain why. Exercises: 1. From your Online Textbook, Section 2.3: work Problems 11, 12, 13, 18 and 19. When a limit does not exist, you should explain why and you should do this by describing what sort of outputs are generated by inputs near the limit location. Here are some tips for describing this succinctly: (a) If possible, compute the left and right limits. Your answers, in limit notation, will constitute a correct description. (b) If the graph of the function has a vertical asymptote, say so. (c) If there is a vertical asymptote in a two-sided limit problem, tell me what happens on each side of the asymptote. Limit notation is the best way to express this (d) If something else is happening, describe the behavior of the outputs in words. 2. From
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Unformatted text preview: Schaums Outline , Chapter 7: work Problem 16. As above, if a limit fails to exist you should describe what does happen. Challenge Problems: Consider the function V ( x ) = | x-2 | . 1. Dene a new function f ( x ) = V ( x )-V (1) x-1 Compute lim x 1 f ( x ). If the limit does not exist, explain why as above. 2. Dene a new function g ( x ) = V ( x )-V (2) x-2 Compute lim x 2 g ( x ). If the limit does not exist, explain why as above. 1 Hints and Answers Exercises: 1. The online textbook provides answers to most problems in Appendix A. In cases where the limit does not exist: 11) vertical asymptote. Also correct to say the (one sided) limit is infnity 18-c) lim x + f ( x ) =-1, but lim x -f ( x ) =-2. 2. Answers are aFter the problem in Schaums Challenges: 1.-1. 2. DNE. lim x + g ( x ) = 1, but lim x -g ( x ) =-1. 2...
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hw8-30 - Schaums Outline , Chapter 7: work Problem 16. As...

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