Evaluate lim f(x) and lim f(x) for the following rational function. Use co or - co where appropriate. Then give the horizontal asymptote of X-00 X- - 00 any). 12 x2 - 9x + 8 f(x) = 4x2 + 1 . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = 3 (Simplify your answer.) X - 00 O B. The limit does not exist and is neither co nor - co. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = 3 (Simplify your answer.) X - - 00 O B. The limit does not exist and is neither co nor - co. Identify the horizontal asymptote. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The horizontal asymptote is y = O B. There are no horizontal asymptotes.Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. X- - 00 6x - 6 f(x) = * 4 + 6x2 . . . A. 6x - 6 lim = 0 (Simplify your answer.) X -cox+ 6x2 O B. The limit does not exist and is neither co nor - co. Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X- - 00 A. - 6 lim = 0 (Simplify your answer.) X - - 00 x* + 6x2 O B. The limit does not exist and is neither co nor - co. Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation.) O B. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations.)Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f (if any). X -+ 0o X - 00 40x + 2x2 f( x ) = 19x3 - 3x . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = co (Simplify your answer.) X -+ 00 O B. The limit does not exist and is neither co nor - co. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = - co (Simplify your answer.) X - - 00 O B. The limit does not exist and is neither co nor - co. Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation using y as the variable.) O B. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations using y as the variable.)Evaluate lim f(x) and lim f(x) for the following function. Use co or - co where appropriate. Then give the horizontal asymptote(s) of f (if any). X- - 00 2 x5 + 8 f(x) = 4x + 164x + 3 . . . Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = (Simplify your answer.) O B. The limit does not exist and is neither co nor - co. Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X- - 00 OA. lim f(x) = (Simplify your answer.) X - - 00 O B. The limit does not exist and is neither co nor - co.Determine the end behavior of the following transcendental function by evaluating appropriate limits. Then provide a simple sketch of the associated graph, showing asymptotes if they exist. f(x) = -2ex . . . Find the correct end behavior of the given function. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. lim (- 2e* ) = and lim (-2ex) = X- - 00 O B. Neither lim (-2e* ) nor lim (- 2e ) exists and neither is co nor - co X - - 00Determine the end behavior of the following transcendental function by evaluating appropriate limits. Then provide a simple sketch of the associated graph, showing asymptotes if they exist. f(x) =6 - In x . . . Determine the end behavior of the given function. Select the correct below and, if necessary, fill in the answer boxes to complete your choice. O A. Neither lim (6 - In x) nor lim (6 -In x) exists and neither is co nor - co. X -+ 00 B. lim (6 -In x) = - co and lim (6 -In x) = co X - 00 x-+0* Choose the correct graph below. O A. O B. O c. OD. Ay Ay 12- 12- X X X X TTTTTTTTT TTTTTTTTIT TTTTTTTTT 10 10 10 10