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6. Determine all horizontal asymptotes for the functions given below by finding the limits at infinity (as x - co and as x - -co).

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6. Determine all horizontal asymptotes for the functions given below by finding the limits at infinity (as x - co and as x - -co). Be sure to show all work or explain what algebraic shortcuts you used to arrive at your answer. Do NOT simply pull your answer from looking at the graph. a. (3 pts) f (x) = - x+3 5x2-3x+6 b. (4 pts) g(x) = 2-13e* 9ex+4 Find each limit using our analytical techniques (not from a graph or table estimate). (3 pts) lim X-0 X

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