Consider the function f(x)= 4x³ + 18x² + 18x x³ + 3x² (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes. X→∞0 X-00 (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). x→a x→a* (a) lim f(x) = 4 X-00 lim f(x) = 4 X-00 Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The horizontal asymptote(s) is/are y = 4. (Use a comma to separate answers as needed.) OB. There are no horizontal asymptotes. (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x→a* x→a O A. The vertical asymptote is x =. The limits at this vertical asymptote are lim f(x) = x→a OB. There is no vertical asymptote. and lim f(x)= x-a*

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