Answer:
2x^4
Step-by-step explanation:
As the magnitude of x gets larger, the absolute value of x gets large
The higher degree terms are going to grow much faster than the lower degree terms, so that is what we need to focus on
The highest degree terms here in the numerator and denominator are 8x^6 and 4x^2, so let's divide the two, and simplify to get our solution;
f(x) = (8x^6) / (4x^2)
= 2x^6 / x^2 = 2x^(6 - 2)
= 2x^4 (solution)
