We explore functions whose graphs approach a nonhorizontal line as x → ∞. A line y = ax + b is called a slant asymptote if

If ƒ(x) = P(x)/Q(x), where P and Q are polynomials of degrees m + 1 and m, then by long division, we can write

where P₁ is a polynomial of degree

Transcribed Image Text:

or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--∞0