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Evaluate Iim f(x) and lim f(x) for the following rational function. Use on or - no where appropriate. Then give the horizontal asymptote of f

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Evaluate Iim f(x) and lim f(x) for the following rational function. Use on or - no where appropriate. Then give the horizontal asymptote of f (if any). X)m X>O 12x2-9x+8 f(x)=2 4x +1 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- Iim f(x) = D (Simplify your answer.) XHJO O B. The limit does not exist and is neither on nor - co. Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. X- - 00 3 6x - 6 f(x ) = x*+ 6x2 . . . Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 6x - 6 lim (Simplify your answer.) X-cox + 6x O B. The limit does not exist and is neither co nor - co.Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f (if any). X-> - 00 16 + 2x2 40x - f(x) = 19x - 3x . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) X-+ 00 O B. The limit does not exist and is neither co nor - co.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 2x + 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. O A. lim f(x) = (Simplify your answer.) * + 00 O B. The limit does not exist and is neither co nor - co.Evaluate lim e^, lim ex, and lim e X-OO X-> - 00 X->OO lim ex = (Simplify your answer. Type an exact answer.) X-> OODetermine 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 x- 0 O B. lim (6 - In x) = and lim (6 -In x) = X-0Determine 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) = cos(2x) . . . Choose the correct end behavior of the given function. O A. lim cos(2x) = and lim cos(2x) = X -+ 00 X- - 00 B. lim cos(2x) does not exist and lim cos(2x) does not exist. X -+ 00 X - - 00 Choose the correct graph below. O A. O B. O c. OD. Ay 2- Ay 2- 2- X N- N

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