Mutiple Choice Question Below. Can anyone figure it out?

Question

f(x) = 2x^3 - 5x^2 - 1 and g(x) = x^2 - x + 1. Let r(x) = [f(x)]/[g(x)] . Then the graph of r(x) has a slant asymptote of the form

y = 2x + 4

y = 2x + 3

y = 2x + 2

y = 2x - 1

or none of these

Answer 1

Divide both f(x) and g(x) by the highest power of x in the denominator. Here: x^2

for large x we get:
lim x=>oo f(x)/x^2 = 2x - 5
lim x=>oo g(x)/x^2 = 1
(where oo means infinity)

The correct answer is therefore:
lim x=>oo f(x)/g(x) = 2x - 5

or none of these

Answer 2

y=2x+3

Answer 3

my answer will be none of these.