2x4 + 2x3 - 40x2 Consider the function f(x) = x* - 41x + 400 a. Evaluate lim f(x) and lim f(x), and then identify the horizontal asymptotes. X- 00 X - - 00 b. Find the vertical asymptotes. For each asymptote x = a, evaluate lim f(x) and lim f(x). x-a x-at . . . b. Identify all the vertical asymptotes. Select the correct choice below and fill in any answer boxes within your choice. O A. There are two vertical asymptotes. The leftmost one is at x = . The limits are lim f(x) = and lim f(x) = x- a x-at The rightmost one is at x = . The limits are lim f(x) = and lim f(x) = x-a x-a O B. There is one vertical asymptote. The asymptote is at x = . The limits are lim f(x) = and lim f(x) = x-a x-a O C. There are no vertical asymptotes.2x4 + 2x3 - 40x2 Consider the function f(x) = x4 - 41x2 + 400 a. Evaluate lim f(x) and lim f(x), and then identify the horizontal asymptotes. X-+ 00 X - - 00 b. Find the vertical asymptotes. For each asymptote x = a, evaluate lim f(x) and lim f(x). x-a X-at . . . a. lim f(x) = (Simplify your answer.) X -+ 00 lim f(x) = (Simplify your answer.) X - 00 Identify all the horizontal asymptotes. Select the correct choice below and fill in any answer boxes within your choice. O A. y= (Use a comma to separate answers as needed.) O B. There are no horizontal asymptotes