How do you find the asymptotes for #y=(2x^2 + 3)/(x^2 - 6)#?
Three asymptotes are
Vertical asymptotes can be found by factorizing function in the denominator i.e. here
Location of the horizontal asymptote is determined by looking at the degrees of the numerator and denominator.
If degree of numerator is less (than denominator),
In case the degrees are same, as in the instant case, let
Here as the ratio is