Question: 7. Suppose a is some number between 0 and 1 (0 7. Suppose a is some number between 0 and 1 (0 < a <

7. Suppose a is some number between 0 and 1 (0

7. Suppose a is some number between 0 and 1 (0 < a < 1). What could be the value of lim ax ? For a hint, when you square a fraction between 0 and 1, does the result increase or decrease? Drawing and using graphs are both definitely valid/encouraged when explaining your reasoning. 8. Draw the graph of a single function that has vertical asymptotes at a: = 1 and = 3, and a horizontal asymptote of y = 3 at both ends. Then find a formula (there could be more than one) for a function which has the asymptotes above that also does not pass through the origin.

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