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Math 1100-006 Quiz 2 9 September, 2011 Answer the questions in the spaces provided. If you run out of room for an answer, you may continue on the back. Show all of your work. Round answers as appropriate (dollar amounts to the nearest penny, and quantities to whole numbers where logical). Name: 1. Find the limits, if they exist. If the limit does not exist, write a sentence explaining why not. x2 − 9 (a) lim x→3 x − 3 x2 + 6x + 9 x→2 x−2 (b) lim (c) lim x→+∞ 3 x+1 2 −9 2. Is the function f (x) = xx−3 continuous at x = 3? If it is discontinuous, state which of the conditions for continuity fails to hold. (Hint: You may use your answer to question 1.) 3. Does the function g(x) = answer to question 1.) 3 x+1 have any horizontal asymptotes? (Hint: You may use your Page 2