How to find the asymptotes for (3x^2) / (x^2-4)?
1 Answer
Aug 11, 2018
Explanation:
Note that:
lim_(x->+-oo) (3x^2)/(x^2-4) = lim_(x->+-oo) 3/(1-4/x^2) = 3
So
Also:
x^2-4 = (x-2)(x+2)
So the denominator is zero when
So
graph{(y-(3x^2)/(x^2-4)) = 0 [-10.09, 9.91, -3.6, 6.4]}