How do you find vertical, horizontal and oblique asymptotes for #(2x^2 + 5x) /( x - 2)#?
No horizontal asymptote
Vertical asymptotes: we must look for points in which the function is not defined. In this case, the point is
which is undefined.
Horizontal asymptotes: we can look for horizontal asymptotes, since the domain is unbounded. If they exist, they are given by
Oblique asymptotes: we can look for oblique asymptotes, since the function diverges. Here's the theory: if
If we divide both sides by
Let's do it!