Question

what is the slant asymptote of f(x)=(4x^3+3x^2-1)/(2x^2-x)?

Answer 1

\[\frac{4 x^3+3 x^2-1}{2 x^2-x}\to \pm \infty \text{ as }x\to 0\]
\[\frac{4 x^3+3 x^2-1}{2 x^2-x}\to \pm \infty \text{ as }x\to \frac{1}{2}\]

Answer 2

to find the slant asymptote, divide

Answer 3

same bike

Answer 4

i am a trend setter

Answer 5

get
\[2x+\frac{5}{2}+\text{remainder}\] ignore the remainder