Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. The graph of a function can never cross one of its horizontal asymptotes. b. A rational function f has both lim f(x) = L (where Lis finite) and lim f(x) = x. X18 8118 c. The graph of a function can have any number of vertical asymptotes but at most two horizontal asymptotes. lim x = ∞-∞ = 0 d. lim (x³ -x) = lim x³. X18 X18 818 -

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