Question

When do you get a slant asymptote?

Answer 1

When the degree on the top is greater than the one on the bottom by 1.

Answer 2

when

\[\lim_{x\to\infty}[f(x)-(ax+b)]=0\]

or

\[\lim_{x\to-\infty}[f(x)-(ax+b)]=0\]

for some a,b