Question

How do you find the vertical, horizontal or slant asymptotes for `(x^2 + 3) / (x^2 - 4)`?

Answer 1

VA: `x=+-2`
HA: `y=1` graph{(x^2+3)/(x^2-4) [-7.024, 7.024, -3.51, 3.514]}

Explanation:

Vertical Asymptote: Take denominator and set it equal to 0 and solve for x. `x^2-4=0->x^2=4->x=+-2`
Horizontal Asymptote:`y= lim x->+-oo (x^2/x^2)->y=1`