Determine the slant asymptote for the function f (x) = 3x^3-4x + 5 divided x-3

don't exist

Step-by-step explanation:

The slant asymptote only exist under two condition:

1) Don't exist horizontal asymptote

2) If the degree of the denominator is n, the degree of the numerator should be n+1

In this case, the degree of the numerator is n+2, for that the slant asymptote don't exist