How do you find the slant asymptote of #f(x) = (3x^2 + 2x - 5)/(x - 4)#?
When you notice that the degree of your numerator is greater than your denominator, then it is likely that you will need to use long division.
To find your slant or oblique asymptote, you are finding what happens when x approaches infinity.
When x approaches infinity in the above equation,
Therefore, your slant asymptote is