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3. Consider the following list of properties i) ii) lim f(x) = x+1+ lim f(x) = x-1- = iii) iv) lim f(x) = 2

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3. Consider the following list of properties i) ii) lim f(x) = x+1+ lim f(x) = x-1- = iii) iv) lim f(x) = 2 x-1- == f(1) = 3 v) lim f(x) = x-1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (ii) b) (i), (iii), and (iv) c) (i), (iii), and (v) d) (iv) and (v)

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